Search a number
-
+
2111110302300 = 2235259382314419
BaseRepresentation
bin11110101110000111111…
…110101100101001011100
321110211010220111000202120
4132232013332230221130
5234042023214133200
64253455232222540
7305344165330326
oct36560776545134
97424126430676
102111110302300
117443538024aa
122a119269aa50
131240ccaab28c
147426d2d4616
1539dac7e39a0
hex1eb87faca5c

2111110302300 has 144 divisors (see below), whose sum is σ = 6126305391360. Its totient is φ = 561291586560.

The previous prime is 2111110302299. The next prime is 2111110302319. The reversal of 2111110302300 is 32030111112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2111110302300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146404491 + ... + 146418909.

It is an arithmetic number, because the mean of its divisors is an integer number (42543787440).

Almost surely, 22111110302300 is an apocalyptic number.

2111110302300 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 2111110302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063152695680).

2111110302300 is an abundant number, since it is smaller than the sum of its proper divisors (4015195089060).

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

2111110302300 is a wasteful number, since it uses less digits than its factorization.

2111110302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15852 (or 15845 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2111110302300 its reverse (32030111112), we get a palindrome (2143140413412).

The spelling of 2111110302300 in words is "two trillion, one hundred eleven billion, one hundred ten million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 593 823 1186 1646 1779 2372 2469 2965 3292 3558 4115 4938 5930 7116 8230 8895 9876 11860 12345 14419 14825 16460 17790 20575 24690 28838 29650 35580 41150 43257 44475 49380 57676 59300 61725 72095 82300 86514 88950 123450 144190 173028 177900 216285 246900 288380 360475 432570 488039 720950 865140 976078 1081425 1441900 1464117 1952156 2162850 2440195 2928234 4325700 4880390 5856468 7320585 8550467 9760780 11866837 12200975 14641170 17100934 23733674 24401950 25651401 29282340 34201868 35600511 36602925 42752335 47467348 48803900 51302802 59334185 71201022 73205850 85504670 102605604 118668370 128257005 142402044 146411700 171009340 178002555 213761675 237336740 256514010 296670925 356005110 427523350 513028020 593341850 641285025 712010220 855046700 890012775 1186683700 1282570050 1780025550 2565140100 3560051100 7037034341 14074068682 21111103023 28148137364 35185171705 42222206046 70370343410 84444412092 105555515115 140740686820 175925858525 211111030230 351851717050 422222060460 527777575575 703703434100 1055555151150 2111110302300