Search a number
-
+
312311323113213 = 31132677344143571
BaseRepresentation
bin100011100000010111010010…
…1011110010011011011111101
31111221210200010002101110122010
41013000232211132103123331
5311413402042204110323
63024121501405041433
7122532514505344014
oct10700564536233375
91457720102343563
10312311323113213
119056a540a5a126
122b04003a256279
1310535aa677bb98
145719d3d2d5a7b
152618e03054c93
hex11c0ba57936fd

312311323113213 has 16 divisors (see below), whose sum is σ = 420257117532096. Its totient is φ = 206287915303680.

The previous prime is 312311323113203. The next prime is 312311323113217.

312311323113213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312311323113213 - 222 = 312311318918909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311323113217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171164283 + ... + 172979288.

It is an arithmetic number, because the mean of its divisors is an integer number (26266069845756).

Almost surely, 2312311323113213 is an apocalyptic number.

It is an amenable number.

312311323113213 is a deficient number, since it is larger than the sum of its proper divisors (107945794418883).

312311323113213 is a wasteful number, since it uses less digits than its factorization.

312311323113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344146364.

The product of its digits is 5832, while the sum is 30.

The spelling of 312311323113213 in words is "three hundred twelve trillion, three hundred eleven billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 113 339 2677 8031 302501 907503 344143571 1032430713 38888223523 116664670569 921272339567 2763817018701 104103774371071 312311323113213