Search a number
-
+
312131131213 = 11201714068199
BaseRepresentation
bin1001000101011000111…
…01110001011101001101
31002211122221210100022011
410202230131301131031
520103221032144323
6355220245221221
731356620560666
oct4425435613515
91084587710264
10312131131213
11110412982780
12505b0101811
13235841b6a65
141117033636d
1581bc6d320d
hex48ac77174d

312131131213 has 8 divisors (see below), whose sum is σ = 340675531200. Its totient is φ = 283614871680.

The previous prime is 312131131201. The next prime is 312131131217.

312131131213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312131131213 - 217 = 312131000141 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 (312131131217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7011913 + ... + 7056286.

It is an arithmetic number, because the mean of its divisors is an integer number (42584441400).

Almost surely, 2312131131213 is an apocalyptic number.

It is an amenable number.

312131131213 is a deficient number, since it is larger than the sum of its proper divisors (28544399987).

312131131213 is a wasteful number, since it uses less digits than its factorization.

312131131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14070227.

The product of its digits is 324, while the sum is 22.

Multiplying 312131131213 by its sum of digits (22), we get a palindrome (6866884886686).

It can be divided in two parts, 312131 and 131213, that added together give a palindrome (443344).

The spelling of 312131131213 in words is "three hundred twelve billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 11 2017 22187 14068199 154750189 28375557383 312131131213