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13105412153031 = 311719535869289
BaseRepresentation
bin1011111010110101011101…
…1011111001111011000111
31201101212100201001201202110
42332231113123321323013
53204204341002344111
643512313200512103
72521556221203612
oct276552733717307
951355321051673
1013105412153031
1141a2a79559540
121577b0001b633
13740ab1831873
1433443bb93179
1517ad7dadc5a6
hexbeb576f9ec7

13105412153031 has 32 divisors (see below), whose sum is σ = 19351189992960. Its totient is φ = 7822587046400.

The previous prime is 13105412153017. The next prime is 13105412153059. The reversal of 13105412153031 is 13035121450131.

It is a cyclic number.

It is not a de Polignac number, because 13105412153031 - 235 = 13071052414663 is a prime.

It is a super-2 number, since 2×131054121530312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13105412153031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105412153831) 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, 701766 + ... + 5167523.

It is an arithmetic number, because the mean of its divisors is an integer number (604724687280).

Almost surely, 213105412153031 is an apocalyptic number.

13105412153031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13105412153031 is a deficient number, since it is larger than the sum of its proper divisors (6245777839929).

13105412153031 is a wasteful number, since it uses less digits than its factorization.

13105412153031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870327.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 13105412153031 in words is "thirteen trillion, one hundred five billion, four hundred twelve million, one hundred fifty-three thousand, thirty-one".

Divisors: 1 3 11 33 71 213 781 953 2343 2859 10483 31449 67663 202989 744293 2232879 5869289 17607867 64562179 193686537 416719519 1250158557 4583914709 5593432417 13751744127 16780297251 61527756587 184583269761 397133701607 1191401104821 4368470717677 13105412153031