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21122302131 = 327863388499
BaseRepresentation
bin10011101010111111…
…001100000010110011
32000112001100010100100
4103222333030002303
5321224302132011
613411540123443
71345300414530
oct235277140263
960461303310
1021122302131
118a59a97247
124115996583
131cb8066838
14104538bd87
15839559d56
hex4eafcc0b3

21122302131 has 24 divisors (see below), whose sum is σ = 34909056000. Its totient is φ = 12055869936.

The previous prime is 21122302129. The next prime is 21122302181. The reversal of 21122302131 is 13120322112.

21122302131 is a `hidden beast` number, since 211 + 22 + 302 + 131 = 666.

It is not a de Polignac number, because 21122302131 - 21 = 21122302129 is a prime.

It is a super-2 number, since 2×211223021312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122302181) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 139881 + ... + 248618.

It is an arithmetic number, because the mean of its divisors is an integer number (1454544000).

Almost surely, 221122302131 is an apocalyptic number.

21122302131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21122302131 is a deficient number, since it is larger than the sum of its proper divisors (13786753869).

21122302131 is a wasteful number, since it uses less digits than its factorization.

21122302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389375 (or 389372 counting only the distinct ones).

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

Adding to 21122302131 its reverse (13120322112), we get a palindrome (34242624243).

The spelling of 21122302131 in words is "twenty-one billion, one hundred twenty-two million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 863 2589 6041 7767 18123 54369 388499 1165497 2719493 3496491 8158479 24475437 335274637 1005823911 2346922459 3017471733 7040767377 21122302131