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104112113 = 72101109193
BaseRepresentation
bin1100011010010…
…01111111110001
321020220102222012
412031021333301
5203123041423
614155252305
72402636600
oct615117761
9236812865
10104112113
115384aa76
122aa4a095
1318753401
14db81a37
159218078
hex6349ff1

104112113 has 24 divisors (see below), whose sum is σ = 124070760. Its totient is φ = 87091200.

The previous prime is 104112109. The next prime is 104112121. The reversal of 104112113 is 311211401.

It can be written as a sum of positive squares in 4 ways, for example, as 38291344 + 65820769 = 6188^2 + 8113^2 .

It is not a de Polignac number, because 104112113 - 22 = 104112109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539345 + ... + 539537.

It is an arithmetic number, because the mean of its divisors is an integer number (5169615).

Almost surely, 2104112113 is an apocalyptic number.

It is an amenable number.

104112113 is a deficient number, since it is larger than the sum of its proper divisors (19958647).

104112113 is a wasteful number, since it uses less digits than its factorization.

104112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 104112113 is about 10203.5343386495. The cubic root of 104112113 is about 470.4358609518.

Adding to 104112113 its reverse (311211401), we get a palindrome (415323514).

The spelling of 104112113 in words is "one hundred four million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 7 49 101 109 193 707 763 1351 4949 5341 9457 11009 19493 21037 77063 136451 147259 539441 955157 1030813 2124737 14873159 104112113