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312132231213 = 31137255636553
BaseRepresentation
bin1001000101011001000…
…01111110000000101101
31002211200000212020012220
410202230201332000231
520103221322344323
6355220324545553
731356633121665
oct4425441760055
91084600766186
10312132231213
11110413564170
12505b05522b9
13235844b064a
14111705411a5
1581bc84e0e3
hex48ac87e02d

312132231213 has 16 divisors (see below), whose sum is σ = 466281074496. Its totient is φ = 184058317440.

The previous prime is 312132231199. The next prime is 312132231227.

312132231213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312132231199) and next prime (312132231227).

It is not a de Polignac number, because 312132231213 - 28 = 312132230957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132231263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127817056 + ... + 127819497.

It is an arithmetic number, because the mean of its divisors is an integer number (29142567156).

Almost surely, 2312132231213 is an apocalyptic number.

312132231213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312132231213 is a deficient number, since it is larger than the sum of its proper divisors (154148843283).

312132231213 is a wasteful number, since it uses less digits than its factorization.

312132231213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255636604.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 312132 and 231213, that added together give a palindrome (543345).

The spelling of 312132231213 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1221 255636553 766909659 2812002083 8436006249 9458552461 28375657383 104044077071 312132231213