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202100112120 = 23351938726257
BaseRepresentation
bin1011110000111000011…
…0101111101011111000
3201022122201000102201210
42330032012233223320
511302400112041440
6232502110443120
720413141415604
oct2741606575370
9638581012653
10202100112120
117878a276555
1233202b034a0
131609a44907a
149ad2d9a504
1553cca0ea80
hex2f0e1afaf8

202100112120 has 64 divisors (see below), whose sum is σ = 609441858720. Its totient is φ = 53614116864.

The previous prime is 202100112103. The next prime is 202100112127. The reversal of 202100112120 is 21211001202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202100112096 and 202100112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100112127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4339969 + ... + 4386288.

Almost surely, 2202100112120 is an apocalyptic number.

202100112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100112120 is an abundant number, since it is smaller than the sum of its proper divisors (407341746600).

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

202100112120 is a wasteful number, since it uses less digits than its factorization.

202100112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8726464 (or 8726460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202100112120 its reverse (21211001202), we get a palindrome (223311113322).

The spelling of 202100112120 in words is "two hundred two billion, one hundred million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160 8726257 17452514 26178771 34905028 43631285 52357542 69810056 87262570 104715084 130893855 174525140 209430168 261787710 349050280 523575420 1047150840 1684167601 3368335202 5052502803 6736670404 8420838005 10105005606 13473340808 16841676010 20210011212 25262514015 33683352020 40420022424 50525028030 67366704040 101050056060 202100112120