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13102312419 = 327238377573
BaseRepresentation
bin11000011001111010…
…10110101111100011
31020211010022102201100
430030331112233203
5203313142444134
610004044005443
7642454550400
oct141475265743
936733272640
1013102312419
115613a06279
122657b30883
13130a644bb1
148c419d2a7
1551a411999
hex30cf56be3

13102312419 has 36 divisors (see below), whose sum is σ = 22073216256. Its totient is φ = 7467391008.

The previous prime is 13102312417. The next prime is 13102312469. The reversal of 13102312419 is 91421320131.

13102312419 is a `hidden beast` number, since 1 + 3 + 10 + 231 + 2 + 419 = 666.

It is not a de Polignac number, because 13102312419 - 21 = 13102312417 is a prime.

It is a super-2 number, since 2×131023124192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13102312392 and 13102312401.

It is not an unprimeable number, because it can be changed into a prime (13102312417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130117 + ... + 207689.

It is an arithmetic number, because the mean of its divisors is an integer number (613144896).

Almost surely, 213102312419 is an apocalyptic number.

13102312419 is a deficient number, since it is larger than the sum of its proper divisors (8970903837).

13102312419 is a wasteful number, since it uses less digits than its factorization.

13102312419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77976 (or 77966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13102312419 in words is "thirteen billion, one hundred two million, three hundred twelve thousand, four hundred nineteen".

Divisors: 1 3 7 9 21 49 63 147 383 441 1149 2681 3447 8043 18767 24129 56301 77573 168903 232719 543011 698157 1629033 3801077 4887099 11403231 29710459 34209693 89131377 207973213 267394131 623919639 1455812491 1871758917 4367437473 13102312419