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312300131213 = 7641202734337
BaseRepresentation
bin1001000101101101000…
…10011101001110001101
31002212002201210102201102
410202312202131032031
520104042313144323
6355245123352445
731364042213240
oct4426642351615
91085081712642
10312300131213
1111049a3119a4
1250638822725
13235b0208b65
1411188969257
1581cc467328
hex48b689d38d

312300131213 has 16 divisors (see below), whose sum is σ = 357658015104. Its totient is φ = 267128586240.

The previous prime is 312300131203. The next prime is 312300131243. The reversal of 312300131213 is 312131003213.

It is a cyclic number.

It is not a de Polignac number, because 312300131213 - 210 = 312300130189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312300131203) 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 15 ways as a sum of consecutive naturals, for example, 9077981 + ... + 9112317.

It is an arithmetic number, because the mean of its divisors is an integer number (22353625944).

Almost surely, 2312300131213 is an apocalyptic number.

It is an amenable number.

312300131213 is a deficient number, since it is larger than the sum of its proper divisors (45357883891).

312300131213 is a wasteful number, since it uses less digits than its factorization.

312300131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37012.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312300131213 its reverse (312131003213), we get a palindrome (624431134426).

The spelling of 312300131213 in words is "three hundred twelve billion, three hundred million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 7 641 2027 4487 14189 34337 240359 1299307 9095149 22010017 69601099 154070119 487207693 44614304459 312300131213