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312001321313 = 11671117378997
BaseRepresentation
bin1001000101001001011…
…10100101100101100001
31002211022220112022121002
410202210232211211201
520102434314240223
6355155331041345
731353453321323
oct4424456454541
91084286468532
10312001321313
11110356680670
1250574740255
1323563336976
141115adc5613
1581b10e0e28
hex48a4ba5961

312001321313 has 16 divisors (see below), whose sum is σ = 345755327424. Its totient is φ = 279153293760.

The previous prime is 312001321277. The next prime is 312001321381. The reversal of 312001321313 is 313123100213.

It is not a de Polignac number, because 312001321313 - 232 = 307706354017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312001321813) 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, 633731 + ... + 1012727.

It is an arithmetic number, because the mean of its divisors is an integer number (21609707964).

Almost surely, 2312001321313 is an apocalyptic number.

It is an amenable number.

312001321313 is a deficient number, since it is larger than the sum of its proper divisors (33754006111).

312001321313 is a wasteful number, since it uses less digits than its factorization.

312001321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380192.

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

Adding to 312001321313 its reverse (313123100213), we get a palindrome (625124421526).

The spelling of 312001321313 in words is "three hundred twelve billion, one million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 11 67 737 1117 12287 74839 378997 823229 4168967 25392799 279320789 423339649 4656736139 28363756483 312001321313