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312101221131 = 3274953987637
BaseRepresentation
bin1001000101010101010…
…11101011001100001011
31002211120212111202101100
410202222223223030023
520103140403034011
6355213300152443
731356105415410
oct4425253531413
91084525452340
10312101221131
111103a80038a7
12505a2098723
132357ac4399b
141116a38c107
1581b9c75d56
hex48aaaeb30b

312101221131 has 12 divisors (see below), whose sum is σ = 515214714352. Its totient is φ = 178343554896.

The previous prime is 312101221093. The next prime is 312101221181. The reversal of 312101221131 is 131122101213.

312101221131 is a `hidden beast` number, since 312 + 1 + 0 + 1 + 221 + 131 = 666.

It is not a de Polignac number, because 312101221131 - 26 = 312101221067 is a prime.

It is a super-2 number, since 2×3121012211312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312101221181) 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 11 ways as a sum of consecutive naturals, for example, 2476993756 + ... + 2476993881.

Almost surely, 2312101221131 is an apocalyptic number.

312101221131 is a deficient number, since it is larger than the sum of its proper divisors (203113493221).

312101221131 is a wasteful number, since it uses less digits than its factorization.

312101221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953987650 (or 4953987647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312101221131 its reverse (131122101213), we get a palindrome (443223322344).

The spelling of 312101221131 in words is "three hundred twelve billion, one hundred one million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 4953987637 14861962911 34677913459 44585888733 104033740377 312101221131