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313212303212313 = 34127112497523189
BaseRepresentation
bin100011100110111010110110…
…0000100100111111100011001
31112001222210200221101202002010
41013031311230010213330121
5312023132244110243223
63030051425023300133
7122654561600001231
oct10715655404477431
91461883627352063
10313212303212313
119088765680a97a
122b16678674a649
131059ca412c7b8b
14574b7b0928cc1
152632586631393
hex11cdd6c127f19

313212303212313 has 32 divisors (see below), whose sum is σ = 429724612800000. Its totient is φ = 202801074278400.

The previous prime is 313212303212269. The next prime is 313212303212353.

313212303212313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313212303212313 - 214 = 313212303195929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313212303212353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37871323 + ... + 45394511.

It is an arithmetic number, because the mean of its divisors is an integer number (13428894150000).

Almost surely, 2313212303212313 is an apocalyptic number.

It is an amenable number.

313212303212313 is a deficient number, since it is larger than the sum of its proper divisors (116512309587687).

313212303212313 is a wasteful number, since it uses less digits than its factorization.

313212303212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524753.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 31321230 and 3212313, that added together give a palindrome (34533543).

The spelling of 313212303212313 in words is "three hundred thirteen trillion, two hundred twelve billion, three hundred three million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 41 123 271 813 1249 3747 11111 33333 51209 153627 338479 1015437 7523189 13877639 22569567 41632917 308450749 925352247 2038784219 6116352657 9396463061 28189389183 83590152979 250770458937 385254985501 1155764956503 2546441489531 7639324468593 104404101070771 313212303212313