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312400004213 = 11677382310973
BaseRepresentation
bin1001000101111000111…
…11011100010001110101
31002212100200201111201102
410202330133130101311
520104243400113323
6355303052135445
731366364136203
oct4427437342165
91085320644642
10312400004213
11110540726a70
1250666167585
13235c7b068cb
1411197d26073
1581d60e4328
hex48bc7dc475

312400004213 has 16 divisors (see below), whose sum is σ = 341423790336. Its totient is φ = 283480491840.

The previous prime is 312400004167. The next prime is 312400004227.

312400004213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312400004213 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 (312400004113) 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, 28464395 + ... + 28475367.

It is an arithmetic number, because the mean of its divisors is an integer number (21338986896).

Almost surely, 2312400004213 is an apocalyptic number.

It is an amenable number.

312400004213 is a deficient number, since it is larger than the sum of its proper divisors (29023786123).

312400004213 is a wasteful number, since it uses less digits than its factorization.

312400004213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15484.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 31240000 and 4213, that added together give a palindrome (31244213).

The spelling of 312400004213 in words is "three hundred twelve billion, four hundred million, four thousand, two hundred thirteen".

Divisors: 1 11 677 3823 7447 10973 42053 120703 2588171 7428721 28469881 41949779 81715931 461447569 28400000383 312400004213