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100103211032022 = 232111585931879171
BaseRepresentation
bin10110110000101100011000…
…010101011001110111010110
3111010102202212220002012101100
4112300230120111121313112
5101110042334011011042
6552522440313210530
730041134613346162
oct2660543025316726
9433382786065340
10100103211032022
1129994595a40150
12b28880aa00a46
1343b18ccc87723
141aa10424cdca2
15b88daa88624c
hex5b0b18559dd6

100103211032022 has 48 divisors (see below), whose sum is σ = 236622516586560. Its totient is φ = 30332392671600.

The previous prime is 100103211032003. The next prime is 100103211032039. The reversal of 100103211032022 is 220230112301001.

100103211032022 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 321 + 1 + 0 + 320 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100103211031986 and 100103211032004.

It is a congruent number.

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, 12799504 + ... + 19079667.

It is an arithmetic number, because the mean of its divisors is an integer number (4929635762220).

Almost surely, 2100103211032022 is an apocalyptic number.

100103211032022 is an abundant number, since it is smaller than the sum of its proper divisors (136519305554538).

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

100103211032022 is a wasteful number, since it uses less digits than its factorization.

100103211032022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31895049 (or 31895046 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100103211032022 its reverse (220230112301001), we get a palindrome (320333323333023).

The spelling of 100103211032022 in words is "one hundred trillion, one hundred three billion, two hundred eleven million, thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 15859 31718 47577 95154 142731 174449 285462 348898 523347 1046694 1570041 3140082 31879171 63758342 95637513 191275026 286912539 350670881 573825078 701341762 1052012643 2104025286 3156037929 6312075858 505571772889 1011143545778 1516715318667 3033430637334 4550145956001 5561289501779 9100291912002 11122579003558 16683868505337 33367737010674 50051605516011 100103211032022