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312556655213 = 1122989072857
BaseRepresentation
bin1001000110001011101…
…01000001001001101101
31002212202121111012111022
410203011311001021231
520110104000431323
6355330405503525
731403305506515
oct4430565011155
91085677435438
10312556655213
111106110a1200
12506aa711ba5
13236213c3bca
14111b0a62845
1581e4c394c8
hex48c5d4126d

312556655213 has 12 divisors (see below), whose sum is σ = 355400703420. Its totient is φ = 274344396480.

The previous prime is 312556655207. The next prime is 312556655233.

312556655213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 166886956324 + 145669698889 = 408518^2 + 381667^2 .

It is not a de Polignac number, because 312556655213 - 216 = 312556589677 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 (312556655233) 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 11 ways as a sum of consecutive naturals, for example, 44532920 + ... + 44539937.

It is an arithmetic number, because the mean of its divisors is an integer number (29616725285).

Almost surely, 2312556655213 is an apocalyptic number.

It is an amenable number.

312556655213 is a deficient number, since it is larger than the sum of its proper divisors (42844048207).

312556655213 is a wasteful number, since it uses less digits than its factorization.

312556655213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89072908 (or 89072897 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

It can be divided in two parts, 312556 and 655213, that added together give a palindrome (967769).

The spelling of 312556655213 in words is "three hundred twelve billion, five hundred fifty-six million, six hundred fifty-five thousand, two hundred thirteen".

Divisors: 1 11 29 121 319 3509 89072857 979801427 2583112853 10777815697 28414241383 312556655213