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223101413044100 = 2252192333997150169
BaseRepresentation
bin110010101110100011011000…
…011110010010111110000100
31002020221021202001220021000122
4302232203120132102332010
5213220243143214402400
62110255212500401112
764664354665263233
oct6256433036227604
91066837661807018
10223101413044100
11650a58614700a8
122103266b9a6198
1397644b0579cc6
143d14247744b1a
151abd5a6973685
hexcae8d8792f84

223101413044100 has 144 divisors (see below), whose sum is σ = 531786761385600. Its totient is φ = 80864963435520.

The previous prime is 223101413043877. The next prime is 223101413044109. The reversal of 223101413044100 is 1440314101322.

223101413044100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231014130441003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223101413044100.

It is not an unprimeable number, because it can be changed into a prime (223101413044109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1485593816 + ... + 1485743984.

Almost surely, 2223101413044100 is an apocalyptic number.

223101413044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223101413044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265893380692800).

223101413044100 is an abundant number, since it is smaller than the sum of its proper divisors (308685348341500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223101413044100 is a wasteful number, since it uses less digits than its factorization.

223101413044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184222 (or 184215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 223101413044100 its reverse (1440314101322), we get a palindrome (224541727145422).

The spelling of 223101413044100 in words is "two hundred twenty-three trillion, one hundred one billion, four hundred thirteen million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 21850 33997 43700 67994 135988 150169 169985 300338 339970 600676 645943 679940 750845 781931 849925 1291886 1501690 1563862 1699850 2583772 2853211 3003380 3127724 3229715 3399700 3453887 3754225 3909655 5706422 6459430 6907774 7508450 7819310 11412844 12918860 13815548 14266055 14856689 15016900 15638620 16148575 17269435 19548275 28532110 29713378 32297150 34538870 39096550 57064220 59426756 64594300 65623853 69077740 71330275 74283445 78193100 86347175 131247706 142660550 148566890 172694350 262495412 285321100 297133780 328119265 345388700 371417225 656238530 742834450 1312477060 1485668900 1640596325 3281192650 5105295493 6562385300 10210590986 20421181972 25526477465 51052954930 97000614367 102105909860 117421796339 127632387325 194001228734 234843592678 255264774650 388002457468 469687185356 485003071835 510529549300 587108981695 970006143670 1174217963390 1940012287340 2231014130441 2348435926780 2425015359175 2935544908475 4462028260882 4850030718350 5871089816950 8924056521764 9700061436700 11155070652205 11742179633900 22310141304410 44620282608820 55775353261025 111550706522050 223101413044100