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312123302131 = 1777272376109
BaseRepresentation
bin1001000101010111111…
…11111010000011110011
31002211122102001120211011
410202223333322003303
520103212031132011
6355215405331351
731356464202454
oct4425377720363
91084572046734
10312123302131
11110409515663
12505a9566b57
13235826a5374
141116d29912b
1581bbb88621
hex48abffa0f3

312123302131 has 8 divisors (see below), whose sum is σ = 330526405440. Its totient is φ = 293724966528.

The previous prime is 312123302069. The next prime is 312123302143. The reversal of 312123302131 is 131203321213.

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 312123302131 - 215 = 312123269363 is a prime.

It is a super-2 number, since 2×3121233021312 (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 (312123309131) 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, 1056696 + ... + 1319413.

It is an arithmetic number, because the mean of its divisors is an integer number (41315800680).

Almost surely, 2312123302131 is an apocalyptic number.

312123302131 is a deficient number, since it is larger than the sum of its proper divisors (18403103309).

312123302131 is a wasteful number, since it uses less digits than its factorization.

312123302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383853.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312123302131 its reverse (131203321213), we get a palindrome (443326623344).

The spelling of 312123302131 in words is "three hundred twelve billion, one hundred twenty-three million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 17 7727 131359 2376109 40393853 18360194243 312123302131