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21631000032 = 253275107639
BaseRepresentation
bin10100001001010011…
…101101110111100000
32001211111112122200100
4110021103231313200
5323300014000112
613534231222400
71364015316015
oct241123556740
961744478610
1021631000032
1191a0154534
124238217a00
132069575905
141092b6970c
158690402dc
hex5094edde0

21631000032 has 36 divisors (see below), whose sum is σ = 61513157160. Its totient is φ = 7210333248.

The previous prime is 21631000031. The next prime is 21631000043. The reversal of 21631000032 is 23000013612.

21631000032 is a `hidden beast` number, since 2 + 1 + 631 + 0 + 0 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21630999969 and 21631000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21631000031) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 37553532 + ... + 37554107.

It is an arithmetic number, because the mean of its divisors is an integer number (1708698810).

Almost surely, 221631000032 is an apocalyptic number.

It is an amenable number.

21631000032 is an abundant number, since it is smaller than the sum of its proper divisors (39882157128).

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

21631000032 is a wasteful number, since it uses less digits than its factorization.

21631000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75107655 (or 75107644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21631000032 its reverse (23000013612), we get a palindrome (44631013644).

The spelling of 21631000032 in words is "twenty-one billion, six hundred thirty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 75107639 150215278 225322917 300430556 450645834 600861112 675968751 901291668 1201722224 1351937502 1802583336 2403444448 2703875004 3605166672 5407750008 7210333344 10815500016 21631000032