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312120303021213 = 32910142967826697
BaseRepresentation
bin100011011110111110010101…
…1110010011110110010011101
31111221010102001120101101002220
41012331330223302132302131
5311402234340033134323
63023454030541335553
7122512643034346551
oct10675745362366235
91457112046341086
10312120303021213
11904a65281067a5
122b00b009b675b9
1310520a839c6a4b
1457109bbab9861
152613e7313e0e3
hex11bdf2bc9ec9d

312120303021213 has 32 divisors (see below), whose sum is σ = 434783890287360. Its totient is φ = 198910993881600.

The previous prime is 312120303021161. The next prime is 312120303021287.

312120303021213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312120303021213 - 228 = 312120034585757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120303025213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377137681 + ... + 377964377.

It is an arithmetic number, because the mean of its divisors is an integer number (13586996571480).

Almost surely, 2312120303021213 is an apocalyptic number.

It is an amenable number.

312120303021213 is a deficient number, since it is larger than the sum of its proper divisors (122663587266147).

312120303021213 is a wasteful number, since it uses less digits than its factorization.

312120303021213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869797.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 31212030 and 3021213, that added together give a palindrome (34233243).

The spelling of 312120303021213 in words is "three hundred twelve trillion, one hundred twenty billion, three hundred three million, twenty-one thousand, two hundred thirteen".

Divisors: 1 3 29 87 101 303 2929 8787 42967 128901 826697 1246043 2480091 3738129 4339667 13019001 23974213 71922639 83496397 125850343 250489191 377551029 2421395513 7264186539 35520689999 106562069997 1030100009971 3090300029913 3587589689899 10762769069697 104040101007071 312120303021213