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21122133131 = 1137101701733
BaseRepresentation
bin10011101010111110…
…100010110010001011
32000112001000112112002
4103222332202302023
5321224231230011
613411532341215
71345266112031
oct235276426213
960461015462
1021122133131
118a59991280
12411591480b
131cb8007938
141045346551
15839524c3b
hex4eafa2c8b

21122133131 has 32 divisors (see below), whose sum is σ = 23966145216. Its totient is φ = 18446400000.

The previous prime is 21122133127. The next prime is 21122133181. The reversal of 21122133131 is 13133122112.

Adding to 21122133131 its reverse (13133122112), we get a palindrome (34255255243).

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21122133131 - 22 = 21122133127 is a prime.

It is a super-2 number, since 2×211221331312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122133181) 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 31 ways as a sum of consecutive naturals, for example, 28815641 + ... + 28816373.

It is an arithmetic number, because the mean of its divisors is an integer number (748942038).

Almost surely, 221122133131 is an apocalyptic number.

21122133131 is a deficient number, since it is larger than the sum of its proper divisors (2844012085).

21122133131 is a wasteful number, since it uses less digits than its factorization.

21122133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583.

The product of its digits is 216, while the sum is 20.

The spelling of 21122133131 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 37 101 407 701 733 1111 3737 7711 8063 25937 27121 41107 70801 74033 285307 298331 513833 778811 814363 2619637 2739221 5652163 19011821 28816007 30131431 51897133 209130031 570868463 1920193921 21122133131