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100220201211120 = 24352914399454197
BaseRepresentation
bin10110110010011001010101…
…011111100001010011110000
3111010211221212010202001210120
4112302121111133201103300
5101114001433002223440
6553052305210530240
730052446004433424
oct2662312537412360
9433757763661716
10100220201211120
1129a2a16a937281
12b2a741a736980
1343bc95572c383
141aa697dbd4b84
15b8be564a7dd0
hex5b26557e14f0

100220201211120 has 80 divisors (see below), whose sum is σ = 321395817699360. Its totient is φ = 25803821919232.

The previous prime is 100220201211113. The next prime is 100220201211181. The reversal of 100220201211120 is 21112102022001.

It is a tau number, because it is divible by the number of its divisors (80).

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 100220201211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7199720139 + ... + 7199734058.

It is an arithmetic number, because the mean of its divisors is an integer number (4017447721242).

Almost surely, 2100220201211120 is an apocalyptic number.

100220201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220201211120 is an abundant number, since it is smaller than the sum of its proper divisors (221175616488240).

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

100220201211120 is a wasteful number, since it uses less digits than its factorization.

100220201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14399454242 (or 14399454236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100220201211120 its reverse (21112102022001), we get a palindrome (121332303233121).

The spelling of 100220201211120 in words is "one hundred trillion, two hundred twenty billion, two hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 14399454197 28798908394 43198362591 57597816788 71997270985 86396725182 115195633576 143994541970 172793450364 215991812955 230391267152 287989083940 345586900728 417584171713 431983625910 575978167880 691173801456 835168343426 863967251820 1151956335760 1252752515139 1670336686852 1727934503640 2087920858565 2505505030278 3340673373704 3455869007280 4175841717130 5011010060556 6263762575695 6681346747408 8351683434260 10022020121112 12527525151390 16703366868520 20044040242224 25055050302780 33406733737040 50110100605560 100220201211120