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12331144113321 = 3113073793211529
BaseRepresentation
bin1011001101110001000101…
…1101101110110010101001
31121122211211122011000100010
42303130101131232302221
53104013140343111241
642120503245402133
72411616150356145
oct263342135566251
947584748130303
1012331144113321
113a2467741a430
121471a37269349
136b5a8b93b0c7
14308b8b0ac225
15165b648a4d16
hexb371176eca9

12331144113321 has 32 divisors (see below), whose sum is σ = 18042118617600. Its totient is φ = 7429420414080.

The previous prime is 12331144113289. The next prime is 12331144113367.

It is a happy number.

12331144113321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12331144113321 - 25 = 12331144113289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12331144113371) 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, 2233885 + ... + 5445413.

It is an arithmetic number, because the mean of its divisors is an integer number (563816206800).

Almost surely, 212331144113321 is an apocalyptic number.

12331144113321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12331144113321 is a deficient number, since it is larger than the sum of its proper divisors (5710974504279).

12331144113321 is a wasteful number, since it uses less digits than its factorization.

12331144113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212229.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1233114 and 4113321, that added together give a palindrome (5346435).

The spelling of 12331144113321 in words is "twelve trillion, three hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 11 33 307 379 921 1137 3377 4169 10131 12507 116353 349059 1279883 3211529 3839649 9634587 35326819 105980457 985939403 1217169491 2957818209 3651508473 10845333433 13388864401 32536000299 40166593203 373671033737 1121013101211 4110381371107 12331144113321