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21120202012 = 22713298212437
BaseRepresentation
bin10011101010110111…
…001011010100011100
32000111220101102112011
4103222313023110130
5321223232431022
613411423121004
71345243516660
oct235267132434
960456342464
1021120202012
118a58892408
124115143164
131cb77ac970
141044da28a0
15839292977
hex4eadcb51c

21120202012 has 96 divisors (see below), whose sum is σ = 47134926720. Its totient is φ = 8054000640.

The previous prime is 21120202003. The next prime is 21120202057. The reversal of 21120202012 is 21020202112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 21120201983 and 21120202001.

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 31 ways as a sum of consecutive naturals, for example, 8665258 + ... + 8667694.

It is an arithmetic number, because the mean of its divisors is an integer number (490988820).

Almost surely, 221120202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23567463360).

21120202012 is an abundant number, since it is smaller than the sum of its proper divisors (26014724708).

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

21120202012 is a wasteful number, since it uses less digits than its factorization.

21120202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21120202012 its reverse (21020202112), we get a palindrome (42140404124).

The spelling of 21120202012 in words is "twenty-one billion, one hundred twenty million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 821 1508 1642 2437 2639 3284 4874 5278 5747 9748 10556 10673 11494 17059 21346 22988 23809 31681 34118 42692 47618 63362 68236 70673 74711 95236 126724 141346 149422 166663 221767 282692 298844 309517 333326 443534 494711 619034 666652 887068 918749 989422 1238068 1837498 1978844 2000777 2166619 3674996 4001554 4333238 6431243 8003108 8666476 12862486 14005439 25724972 26010101 28010878 52020202 56021756 58022533 104040404 116045066 182070707 232090132 364141414 406157731 728282828 754292929 812315462 1508585858 1624630924 3017171716 5280050503 10560101006 21120202012