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312110011213 = 71113311798213
BaseRepresentation
bin1001000101010110011…
…01001101001101001101
31002211121111001100002221
410202223031031031031
520103200130324323
6355214212415341
731356243215440
oct4425315151515
91084544040087
10312110011213
11110401a67a30
12505a5017551
132357ca00910
141116b5d9657
1581ba91055d
hex48ab34d34d

312110011213 has 16 divisors (see below), whose sum is σ = 419056799616. Its totient is φ = 224494712640.

The previous prime is 312110011207. The next prime is 312110011217.

It is a happy number.

312110011213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312110011213 - 213 = 312110003021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312110011217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155898106 + ... + 155900107.

It is an arithmetic number, because the mean of its divisors is an integer number (26191049976).

Almost surely, 2312110011213 is an apocalyptic number.

It is an amenable number.

312110011213 is a deficient number, since it is larger than the sum of its proper divisors (106946788403).

312110011213 is a wasteful number, since it uses less digits than its factorization.

312110011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311798244.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 3121100 and 11213, that added together give a palindrome (3132313).

The spelling of 312110011213 in words is "three hundred twelve billion, one hundred ten million, eleven thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 311798213 2182587491 3429780343 4053376769 24008462401 28373637383 44587144459 312110011213