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100220222111112 = 23327331907995791
BaseRepresentation
bin10110110010011001010110…
…101111001111110110001000
3111010211221220121001220012100
4112302121112233033312020
5101114002003330023422
6553052311234513400
730052446350201355
oct2662312657176610
9433757817056170
10100220222111112
1129a2a1807117a4
12b2a7425735860
1343bc959b6932c
141aa69828b562c
15b8be582357ac
hex5b2656bcfd88

100220222111112 has 96 divisors (see below), whose sum is σ = 271942868695680. Its totient is φ = 33343637800320.

The previous prime is 100220222111011. The next prime is 100220222111123. The reversal of 100220222111112 is 211111222022001.

100220222111112 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 222 + 111 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100145937 + ... + 101141727.

It is an arithmetic number, because the mean of its divisors is an integer number (2832738215580).

Almost surely, 2100220222111112 is an apocalyptic number.

100220222111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220222111112 is an abundant number, since it is smaller than the sum of its proper divisors (171722646584568).

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

100220222111112 is a wasteful number, since it uses less digits than its factorization.

100220222111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998443 (or 998436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100220222111112 its reverse (211111222022001), we get a palindrome (311331444133113).

The spelling of 100220222111112 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 733 1466 1907 2199 2932 3814 4398 5721 5864 6597 7628 8796 11442 13194 15256 17163 17592 22884 26388 34326 45768 52776 68652 137304 995791 1397831 1991582 2795662 2987373 3983164 4193493 5591324 5974746 7966328 8386986 8962119 11182648 11949492 12580479 16773972 17924238 23898984 25160958 33547944 35848476 50321916 71696952 100643832 729914803 1459829606 1898973437 2189744409 2919659212 3797946874 4379488818 5696920311 5839318424 6569233227 7595893748 8758977636 11393840622 13138466454 15191787496 17090760933 17517955272 22787681244 26276932908 34181521866 45575362488 52553865816 68363043732 136726087464 1391947529321 2783895058642 4175842587963 5567790117284 8351685175926 11135580234568 12527527763889 16703370351852 25055055527778 33406740703704 50110111055556 100220222111112