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312331211003 = 74317410359
BaseRepresentation
bin1001000101110000110…
…01000001000011111011
31002212011220021110011202
410202320121001003323
520104123242223003
6355252153444415
731364600330000
oct4427031010373
91085156243152
10312331211003
1111050590a679
125064711070b
13235b679b476
141118cb398a7
1581d0056088
hex48b86410fb

312331211003 has 20 divisors (see below), whose sum is σ = 365515038480. Its totient is φ = 266867297424.

The previous prime is 312331210969. The next prime is 312331211021. The reversal of 312331211003 is 300112133213.

It is not a de Polignac number, because 312331211003 - 212 = 312331206907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312331211053) 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 19 ways as a sum of consecutive naturals, for example, 555938 + ... + 966296.

It is an arithmetic number, because the mean of its divisors is an integer number (18275751924).

Almost surely, 2312331211003 is an apocalyptic number.

312331211003 is a deficient number, since it is larger than the sum of its proper divisors (53183827477).

312331211003 is an frugal number, since it uses more digits than its factorization.

312331211003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410704 (or 410683 counting only the distinct ones).

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

Adding to 312331211003 its reverse (300112133213), we get a palindrome (612443344216).

The spelling of 312331211003 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred eleven thousand, three".

Divisors: 1 7 49 317 343 2219 2401 15533 108731 410359 761117 2872513 20107591 130083803 140753137 910586621 985271959 6374106347 44618744429 312331211003