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20100122100 = 22325243519383
BaseRepresentation
bin10010101110000011…
…111000010111110100
31220212210220222221200
4102232003320113310
5312131112401400
613122303212500
71311046135032
oct225603702764
956783828850
1020100122100
118584aa4263
123a8b5a7130
131b84361b96
14d89709552
157c9946b00
hex4ae0f85f4

20100122100 has 108 divisors (see below), whose sum is σ = 64468019616. Its totient is φ = 5235370560.

The previous prime is 20100122093. The next prime is 20100122101. The reversal of 20100122100 is 122100102.

It is a Harshad number since it is a multiple of its sum of digits (9).

20100122100 is a modest number, since divided by 122100 gives 20100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100122101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220992 + ... + 298391.

Almost surely, 220100122100 is an apocalyptic number.

20100122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100122100 is an abundant number, since it is smaller than the sum of its proper divisors (44367897516).

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

20100122100 is a wasteful number, since it uses less digits than its factorization.

20100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519446 (or 519436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100122100 its reverse (122100102), we get a palindrome (20222222202).

The spelling of 20100122100 in words is "twenty billion, one hundred million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 38700 519383 1038766 1558149 2077532 2596915 3116298 4674447 5193830 6232596 7790745 9348894 10387660 12984575 15581490 18697788 22333469 23372235 25969150 31162980 38953725 44666938 46744470 51938300 67000407 77907450 89333876 93488940 111667345 116861175 134000814 155814900 201001221 223334690 233722350 268001628 335002035 402002442 446669380 467444700 558336725 670004070 804004884 1005006105 1116673450 1340008140 1675010175 2010012210 2233346900 3350020350 4020024420 5025030525 6700040700 10050061050 20100122100