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312841148213 = 11732593150247
BaseRepresentation
bin1001000110101101100…
…10010001011100110101
31002220111102210221112002
410203112302101130311
520111144313220323
6355414531305045
731413331612256
oct4432662213465
91086442727462
10312841148213
11110747743a90
1250769a4b185
1323668322669
14111da75ab2d
15820ebd3828
hex48d6c91735

312841148213 has 16 divisors (see below), whose sum is σ = 346092061056. Its totient is φ = 280395095040.

The previous prime is 312841148161. The next prime is 312841148231.

It is a happy number.

312841148213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312841148213 - 210 = 312841147189 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 (312841148293) 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, 2007056 + ... + 2157302.

It is an arithmetic number, because the mean of its divisors is an integer number (21630753816).

Almost surely, 2312841148213 is an apocalyptic number.

It is an amenable number.

312841148213 is a deficient number, since it is larger than the sum of its proper divisors (33250912843).

312841148213 is a wasteful number, since it uses less digits than its factorization.

312841148213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152924.

The product of its digits is 36864, while the sum is 38.

The spelling of 312841148213 in words is "three hundred twelve billion, eight hundred forty-one million, one hundred forty-eight thousand, two hundred thirteen".

Divisors: 1 11 73 803 2593 28523 150247 189289 1652717 2082179 10968031 120648341 389590471 4285495181 28440104383 312841148213