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13120444402131 = 3112379191062979
BaseRepresentation
bin1011111011101101011101…
…1011011000100111010011
31201110022011022220002220010
42332323113123120213103
53204431132231332011
643523240550050003
72522630562210003
oct276732733304723
951408138802803
1013120444402131
1141a93928a7800
12157a9b6349903
13742338c5c511
143350663b0003
1517b45d6721a6
hexbeed76d89d3

13120444402131 has 48 divisors (see below), whose sum is σ = 19770067385600. Its totient is φ = 7728445327680.

The previous prime is 13120444402003. The next prime is 13120444402151.

It is a happy number.

13120444402131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13120444402131 - 27 = 13120444402003 is a prime.

It is a super-2 number, since 2×131204444021312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13120444402151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11811600 + ... + 12874578.

Almost surely, 213120444402131 is an apocalyptic number.

13120444402131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13120444402131 is a deficient number, since it is larger than the sum of its proper divisors (6649622983469).

13120444402131 is a wasteful number, since it uses less digits than its factorization.

13120444402131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063960 (or 1063949 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1312044 and 4402131, that added together give a palindrome (5714175).

The spelling of 13120444402131 in words is "thirteen trillion, one hundred twenty billion, four hundred forty-four million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 37 111 121 363 407 919 1221 2757 4477 10109 13431 30327 34003 102009 111199 333597 374033 1062979 1122099 3188937 4114363 11692769 12343089 35078307 39330223 117990669 128620459 385861377 432632453 976877701 1297897359 2930633103 4758956983 10745654711 14276870949 32236964133 36144474937 108433424811 118202201821 354606605463 397589224307 1192767672921 4373481467377 13120444402131