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104112041313 = 3728919939989
BaseRepresentation
bin110000011110110001…
…1111010110101100001
3100221201202011200111010
41200331203322311201
53201210140310223
6115454534211133
710343664515100
oct1407543726541
9327652150433
10104112041313
1140176595655
1218216ab3aa9
139a826cc697
14507921c037
152a95242393
hex183d8fad61

104112041313 has 48 divisors (see below), whose sum is σ = 164118960000. Its totient is φ = 58527076608.

The previous prime is 104112041279. The next prime is 104112041329. The reversal of 104112041313 is 313140211401.

It is not a de Polignac number, because 104112041313 - 29 = 104112040801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 104112041313.

It is not an unprimeable number, because it can be changed into a prime (104112040313) 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, 2583523 + ... + 2623511.

It is an arithmetic number, because the mean of its divisors is an integer number (3419145000).

Almost surely, 2104112041313 is an apocalyptic number.

It is an amenable number.

104112041313 is a deficient number, since it is larger than the sum of its proper divisors (60006918687).

104112041313 is a wasteful number, since it uses less digits than its factorization.

104112041313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40294 (or 40287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 104112041313 its reverse (313140211401), we get a palindrome (417252252714).

The spelling of 104112041313 in words is "one hundred four billion, one hundred twelve million, forty-one thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 89 147 199 267 597 623 1393 1869 4179 4361 9751 13083 17711 29253 39989 53133 119967 123977 279923 371931 839769 867839 1959461 2603517 3559021 5878383 7957811 10677063 23873433 24913147 55704677 74739441 167114031 174392029 389932739 523176087 708245179 1169798217 2124735537 4957716253 14873148759 34704013771 104112041313