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312122012131 = 586760898737
BaseRepresentation
bin1001000101010111110…
…10111111000111100011
31002211122022122001021101
410202223322333013203
520103211213342011
6355215321535231
731356450220516
oct4425372770743
91084568561241
10312122012131
11110408814446
12505a9044517
1323582343157
141116d040d7d
1581bb9d12c1
hex48abebf1e3

312122012131 has 8 divisors (see below), whose sum is σ = 312262216560. Its totient is φ = 311981849088.

The previous prime is 312122012129. The next prime is 312122012173. The reversal of 312122012131 is 131210221213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312122012131 - 21 = 312122012129 is a prime.

It is a super-2 number, since 2×3121220121312 (a number of 24 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 = 312122012099 and 312122012108.

It is not an unprimeable number, because it can be changed into a prime (312122012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35719795 + ... + 35728531.

It is an arithmetic number, because the mean of its divisors is an integer number (39032777070).

Almost surely, 2312122012131 is an apocalyptic number.

312122012131 is a deficient number, since it is larger than the sum of its proper divisors (140204429).

312122012131 is an equidigital number, since it uses as much as digits as its factorization.

312122012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20693.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312122012131 its reverse (131210221213), we get a palindrome (443332233344).

The spelling of 312122012131 in words is "three hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred thirty-one".

Divisors: 1 5867 6089 8737 35724163 51259979 53199593 312122012131