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3122211312131 = 29894357277643
BaseRepresentation
bin101101011011110010010…
…010111101001000000011
3102001110222021102011220212
4231123302102331020003
5402123242043442011
610350154000024335
7441400210161452
oct55336222751003
912043867364825
103122211312131
11aa413898738a
124251323020ab
13198566ba9792
14ab189bc2b99
15563388ed08b
hex2d6f24bd203

3122211312131 has 16 divisors (see below), whose sum is σ = 3266925890400. Its totient is φ = 2979982672128.

The previous prime is 3122211312127. The next prime is 3122211312169. The reversal of 3122211312131 is 1312131122213.

It is a happy number.

3122211312131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3122211312131 - 22 = 3122211312127 is a prime.

It is a super-2 number, since 2×31222113121312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3122211312097 and 3122211312106.

It is not an unprimeable number, because it can be changed into a prime (3122211312191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11106596 + ... + 11384238.

It is an arithmetic number, because the mean of its divisors is an integer number (204182868150).

Almost surely, 23122211312131 is an apocalyptic number.

3122211312131 is a deficient number, since it is larger than the sum of its proper divisors (144714578269).

3122211312131 is a wasteful number, since it uses less digits than its factorization.

3122211312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282118.

The product of its digits is 432, while the sum is 23.

Adding to 3122211312131 its reverse (1312131122213), we get a palindrome (4434342434344).

The spelling of 3122211312131 in words is "three trillion, one hundred twenty-two billion, two hundred eleven million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 29 89 2581 4357 126353 277643 387773 8051647 11245417 24710227 716596583 1209690551 35081025979 107662459039 3122211312131