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21210232131 = 3311331921517
BaseRepresentation
bin10011110000001110…
…100111010101000011
32000202011210102122000
4103300032213111003
5321414304412011
613424400515043
71350415666314
oct236016472503
960664712560
1021210232131
118aa4694370
12413b31ba83
13200034251a
141052d1a60b
15842128356
hex4f03a7543

21210232131 has 32 divisors (see below), whose sum is σ = 34291084800. Its totient is φ = 12850215840.

The previous prime is 21210232123. The next prime is 21210232151. The reversal of 21210232131 is 13123201212.

21210232131 is a `hidden beast` number, since 212 + 102 + 321 + 31 = 666.

It is not a de Polignac number, because 21210232131 - 23 = 21210232123 is a prime.

It is a super-2 number, since 2×212102321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21210232151) 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 31 ways as a sum of consecutive naturals, for example, 974985 + ... + 996501.

It is an arithmetic number, because the mean of its divisors is an integer number (1071596400).

Almost surely, 221210232131 is an apocalyptic number.

21210232131 is a deficient number, since it is larger than the sum of its proper divisors (13080852669).

21210232131 is a wasteful number, since it uses less digits than its factorization.

21210232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24856 (or 24850 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21210232131 its reverse (13123201212), we get a palindrome (34333433343).

The spelling of 21210232131 in words is "twenty-one billion, two hundred ten million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 3319 9957 21517 29871 36509 64551 89613 109527 193653 236687 328581 580959 710061 985743 2130183 6390549 71414923 214244769 642734307 785564153 1928202921 2356692459 7070077377 21210232131