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100021202122032 = 24325871263793637
BaseRepresentation
bin10110101111100000000000…
…001110001111010100110000
3111010010221012112211220221200
4112233200000032033110300
5101102221410220401112
6552421034513451200
730032202426203142
oct2657400016172460
9433127175756850
10100021202122032
1129962832061284
12b274942270b00
1343a6c608a8b99
141a9b0a2a1ac92
15b86baad44cdc
hex5af80038f530

100021202122032 has 120 divisors (see below), whose sum is σ = 280422497134416. Its totient is φ = 33280613503488.

The previous prime is 100021202121989. The next prime is 100021202122069. The reversal of 100021202122032 is 230221202120001.

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 = 100021202121996 and 100021202122014.

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, 1068133518 + ... + 1068227154.

Almost surely, 2100021202122032 is an apocalyptic number.

100021202122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021202122032 is an abundant number, since it is smaller than the sum of its proper divisors (180401295012384).

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

100021202122032 is a wasteful number, since it uses less digits than its factorization.

100021202122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106875 (or 106866 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100021202122032 its reverse (230221202120001), we get a palindrome (330242404242033).

The spelling of 100021202122032 in words is "one hundred trillion, twenty-one billion, two hundred two million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 587 1174 1761 2348 3522 4696 5283 7044 9392 10566 12637 14088 21132 25274 28176 37911 42264 50548 75822 84528 93637 101096 113733 151644 187274 202192 227466 280911 303288 374548 454932 561822 606576 749096 842733 909864 1123644 1498192 1685466 1819728 2247288 3370932 4494576 6741864 7417919 13483728 14835838 22253757 29671676 44507514 54964919 59343352 66761271 89015028 109929838 118686704 133522542 164894757 178030056 219859676 267045084 329789514 356060112 439719352 494684271 534090168 659579028 879438704 989368542 1068180336 1183290769 1319158056 1978737084 2366581538 2638316112 3549872307 3957474168 4733163076 7099744614 7914948336 9466326152 10649616921 14199489228 18932652304 21299233842 28398978456 42598467684 56797956912 85196935368 170393870736 694591681403 1389183362806 2083775044209 2778366725612 4167550088418 5556733451224 6251325132627 8335100176836 11113466902448 12502650265254 16670200353672 25005300530508 33340400707344 50010601061016 100021202122032