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312321123213 = 3119464276461
BaseRepresentation
bin1001000101101111100…
…10100010001110001101
31002212011012021221022220
410202313302202032031
520104113201420323
6355251153325553
731364415513351
oct4426762421615
91085135257286
10312321123213
1111050014a560
12506438668b9
13235b4678968
141118b671461
1581ce2120e3
hex48b7ca238d

312321123213 has 8 divisors (see below), whose sum is σ = 454285270176. Its totient is φ = 189285529200.

The previous prime is 312321123199. The next prime is 312321123239.

312321123213 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 312321123213 - 24 = 312321123197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321123253) 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 7 ways as a sum of consecutive naturals, for example, 4732138198 + ... + 4732138263.

It is an arithmetic number, because the mean of its divisors is an integer number (56785658772).

Almost surely, 2312321123213 is an apocalyptic number.

312321123213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312321123213 is a deficient number, since it is larger than the sum of its proper divisors (141964146963).

312321123213 is a wasteful number, since it uses less digits than its factorization.

312321123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464276475.

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

It can be divided in two parts, 312321 and 123213, that added together give a palindrome (435534).

The spelling of 312321123213 in words is "three hundred twelve billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 11 33 9464276461 28392829383 104107041071 312321123213