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100221100211220 = 22359473055957719
BaseRepresentation
bin10110110010011010001011…
…000100111011110000010100
3111010212001011210101000002120
4112302122023010323300110
5101114010303123224340
6553052534323335540
730052510202006112
oct2662321304736024
9433761153330076
10100221100211220
1129a2a59134636a
12b2a762b8215b0
1343bca69a658b1
141aa6a27370ab2
15b8beaa3884d0
hex5b268b13bc14

100221100211220 has 96 divisors (see below), whose sum is σ = 280929464524800. Its totient is φ = 26696069203584.

The previous prime is 100221100211209. The next prime is 100221100211257. The reversal of 100221100211220 is 22112001122001.

It is a super-2 number, since 2×1002211002112202 (a number of 29 digits) contains 22 as substring.

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 100221100211220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736333521 + ... + 1736391239.

It is an arithmetic number, because the mean of its divisors is an integer number (2926348588800).

Almost surely, 2100221100211220 is an apocalyptic number.

100221100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221100211220 is an abundant number, since it is smaller than the sum of its proper divisors (180708364313580).

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

100221100211220 is a wasteful number, since it uses less digits than its factorization.

100221100211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89237 (or 89235 counting only the distinct ones).

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

Adding to 100221100211220 its reverse (22112001122001), we get a palindrome (122333101333221).

The spelling of 100221100211220 in words is "one hundred trillion, two hundred twenty-one billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 947 1894 2841 3788 4735 5682 9470 11364 14205 18940 28410 30559 56820 57719 61118 91677 115438 122236 152795 173157 183354 230876 288595 305590 346314 366708 458385 577190 611180 692628 865785 916770 1154380 1731570 1833540 3463140 28939373 54659893 57878746 86818119 109319786 115757492 144696865 163979679 173636238 218639572 273299465 289393730 327959358 347272476 434090595 546598930 578787460 655918716 819898395 868181190 1093197860 1639796790 1736362380 1763834921 3279593580 3527669842 5291504763 7055339684 8819174605 10583009526 17638349210 21166019052 26457523815 35276698420 52915047630 105830095260 1670351670187 3340703340374 5011055010561 6681406680748 8351758350935 10022110021122 16703516701870 20044220042244 25055275052805 33407033403740 50110550105610 100221100211220