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20100021120 = 273253489587
BaseRepresentation
bin10010101110000011…
…011111101110000000
31220212210201212102200
4102232003133232000
5312131101133440
613122301113200
71311045234444
oct225603375600
956783655380
1020100021120
118584a35403
123a8b558800
131b84327c2a
14d896c0824
157c9926c30
hex4ae0dfb80

20100021120 has 96 divisors (see below), whose sum is σ = 69407905320. Its totient is φ = 5360004096.

The previous prime is 20100021059. The next prime is 20100021157. The reversal of 20100021120 is 2112000102.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1739034 + ... + 1750553.

Almost surely, 220100021120 is an apocalyptic number.

20100021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100021120 is an abundant number, since it is smaller than the sum of its proper divisors (49307884200).

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

20100021120 is a wasteful number, since it uses less digits than its factorization.

20100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489612 (or 3489597 counting only the distinct ones).

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

Adding to 20100021120 its reverse (2112000102), we get a palindrome (22212021222).

The spelling of 20100021120 in words is "twenty billion, one hundred million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 3489587 6979174 10468761 13958348 17447935 20937522 27916696 31406283 34895870 41875044 52343805 55833392 62812566 69791740 83750088 104687610 111666784 125625132 139583480 157031415 167500176 209375220 223333568 251250264 279166960 314062830 335000352 418750440 446667136 502500528 558333920 628125660 670000704 837500880 1005001056 1116667840 1256251320 1340001408 1675001760 2010002112 2233335680 2512502640 3350003520 4020004224 5025005280 6700007040 10050010560 20100021120