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1312336332131 = 1122310117926083
BaseRepresentation
bin10011000110001101010…
…101110100010101100011
311122110100222100001112012
4103012031111310111203
5133000131100112011
62442513510023135
7163545626525306
oct23061525642543
94573328301465
101312336332131
11466616713100
1219240a947aab
13969a2b3ac56
1447735b16b3d
152420be7ea8b
hex1318d574563

1312336332131 has 48 divisors (see below), whose sum is σ = 1528655950080. Its totient is φ = 1123508232000.

The previous prime is 1312336332103. The next prime is 1312336332157.

1312336332131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1312336332131 is a prime.

It is a super-2 number, since 2×13123363321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312336332191) 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, 50300816 + ... + 50326898.

It is an arithmetic number, because the mean of its divisors is an integer number (31846998960).

Almost surely, 21312336332131 is an apocalyptic number.

1312336332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312336332131 is a deficient number, since it is larger than the sum of its proper divisors (216319617949).

1312336332131 is a wasteful number, since it uses less digits than its factorization.

1312336332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26408 (or 26397 counting only the distinct ones).

The product of its digits is 17496, while the sum is 32.

The spelling of 1312336332131 in words is "one trillion, three hundred twelve billion, three hundred thirty-six million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 23 101 121 179 253 1111 1969 2323 2783 4117 12221 18079 21659 25553 26083 45287 198869 281083 286913 415817 498157 599909 2187559 2634383 3156043 4573987 4668857 6598999 28978213 50313857 51357427 60590809 72588989 107383711 318760343 471554557 564931697 666498899 1181220821 5187100127 7331487889 10845754811 12993429031 57058101397 119303302921 1312336332131