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2131340431312 = 24397335538481
BaseRepresentation
bin11111000000111101110…
…010100000111111010000
321112202100210001001200001
4133000331302200333100
5234404441122300222
64311042502135344
7306661413515311
oct37007562407720
97482323031601
102131340431312
11751995122894
122a5099721554
13125ca505bb11
147522bda2608
153a69386ae27
hex1f03dca0fd0

2131340431312 has 20 divisors (see below), whose sum is σ = 4139873790916. Its totient is φ = 1062985904640.

The previous prime is 2131340431301. The next prime is 2131340431421.

2131340431312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1568846431296 + 562494000016 = 1252536^2 + 749996^2 .

It is a super-2 number, since 2×21313404313122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167762889 + ... + 167775592.

Almost surely, 22131340431312 is an apocalyptic number.

It is an amenable number.

2131340431312 is a deficient number, since it is larger than the sum of its proper divisors (2008533359604).

2131340431312 is a wasteful number, since it uses less digits than its factorization.

2131340431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335538886 (or 335538880 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 2131340 and 431312, that added together give a palindrome (2562652).

The spelling of 2131340431312 in words is "two trillion, one hundred thirty-one billion, three hundred forty million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 397 794 1588 3176 6352 335538481 671076962 1342153924 2684307848 5368615696 133208776957 266417553914 532835107828 1065670215656 2131340431312