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312141141213 = 3112859892951
BaseRepresentation
bin1001000101011010000…
…11111101010011011101
31002211200122121220102220
410202231003331103131
520103231113004323
6355221243535553
731360101631446
oct4425503752335
91084618556386
10312141141213
1111041859a400
12505b352a5b9
13235862b0035
14111717c02cd
1581bd50e0e3
hex48ad0fd4dd

312141141213 has 12 divisors (see below), whose sum is σ = 457463050464. Its totient is φ = 189176449000.

The previous prime is 312141141209. The next prime is 312141141227.

312141141213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312141141213 - 22 = 312141141209 is a prime.

It is a super-2 number, since 2×3121411412132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141141713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429946113 + ... + 429946838.

It is an arithmetic number, because the mean of its divisors is an integer number (38121920872).

Almost surely, 2312141141213 is an apocalyptic number.

312141141213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312141141213 is a deficient number, since it is larger than the sum of its proper divisors (145321909251).

312141141213 is a wasteful number, since it uses less digits than its factorization.

312141141213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859892976 (or 859892965 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 312141 and 141213, that added together give a palindrome (453354).

The spelling of 312141141213 in words is "three hundred twelve billion, one hundred forty-one million, one hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 11 33 121 363 859892951 2579678853 9458822461 28376467383 104047047071 312141141213