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202100120020 = 225234110715807
BaseRepresentation
bin1011110000111000011…
…0110001100111010100
3201022122201000211120101
42330032012301213110
511302400112320040
6232502110543444
720413141450621
oct2741606614724
9638581024511
10202100120020
117878a281487
1233202b07b84
131609a44c846
149ad2d9d348
1553cca1209a
hex2f0e1b19d4

202100120020 has 48 divisors (see below), whose sum is σ = 453664447488. Its totient is φ = 75439274240.

The previous prime is 202100120003. The next prime is 202100120077. The reversal of 202100120020 is 20021001202.

202100120020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202100119979 and 202100120006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5339044 + ... + 5376763.

It is an arithmetic number, because the mean of its divisors is an integer number (9451342656).

Almost surely, 2202100120020 is an apocalyptic number.

202100120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100120020 is an abundant number, since it is smaller than the sum of its proper divisors (251564327468).

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

202100120020 is a wasteful number, since it uses less digits than its factorization.

202100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715880 (or 10715878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202100120020 its reverse (20021001202), we get a palindrome (222121121222).

The spelling of 202100120020 in words is "two hundred two billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 10715807 21431614 42863228 53579035 107158070 214316140 246463561 439348087 492927122 878696174 985854244 1232317805 1757392348 2196740435 2464635610 4393480870 4929271220 8786961740 10105006001 20210012002 40420024004 50525030005 101050060010 202100120020