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21002413121235 = 325713171433210533
BaseRepresentation
bin1001100011010000000010…
…10111111001111011010011
32202100210220021121012011100
410301220001113321323103
510223100420224334420
6112400213030115443
74265242242663540
oct461500127717323
982323807535140
1021002413121235
1167680897476a7
1224324a97abb83
13b946994b0660
14528744d7bbc7
152664c33b6190
hex131a015f9ed3

21002413121235 has 192 divisors, whose sum is σ = 47474076319488. Its totient is φ = 8335369469952.

The previous prime is 21002413121177. The next prime is 21002413121237. The reversal of 21002413121235 is 53212131420012.

It is a happy number.

21002413121235 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 2 + 413 + 1 + 212 + 35 = 666.

It is not a de Polignac number, because 21002413121235 - 212 = 21002413117139 is a prime.

It is a super-2 number, since 2×210024131212352 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21002413121199 and 21002413121208.

It is not an unprimeable number, because it can be changed into a prime (21002413121237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99653029 + ... + 99863561.

It is an arithmetic number, because the mean of its divisors is an integer number (247260814164).

Almost surely, 221002413121235 is an apocalyptic number.

21002413121235 is an abundant number, since it is smaller than the sum of its proper divisors (26471663198253).

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

21002413121235 is a wasteful number, since it uses less digits than its factorization.

21002413121235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212014 (or 212011 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21002413121235 its reverse (53212131420012), we get a palindrome (74214544541247).

The spelling of 21002413121235 in words is "twenty-one trillion, two billion, four hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-five".