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104100113 = 1321633779
BaseRepresentation
bin1100011010001…
…11000100010001
321020212211111202
412031013010101
5203122200423
614155120545
72402556605
oct615070421
9236784452
10104100113
1153841a57
122aa43155
131874ab00
14db7b505
159214728
hex6347111

104100113 has 12 divisors (see below), whose sum is σ = 113445360. Its totient is φ = 95477616.

The previous prime is 104100091. The next prime is 104100133. The reversal of 104100113 is 311001401.

It is not a de Polignac number, because 104100113 - 26 = 104100049 is a prime.

It is a super-2 number, since 2×1041001132 = 21673667053225538, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104100094 and 104100103.

It is not an unprimeable number, because it can be changed into a prime (104100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25658 + ... + 29436.

It is an arithmetic number, because the mean of its divisors is an integer number (9453780).

Almost surely, 2104100113 is an apocalyptic number.

104100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104100113 is a deficient number, since it is larger than the sum of its proper divisors (9345247).

104100113 is a wasteful number, since it uses less digits than its factorization.

104100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 104100113 is about 10202.9462901654. The cubic root of 104100113 is about 470.4177860546.

Adding to 104100113 its reverse (311001401), we get a palindrome (415101514).

The spelling of 104100113 in words is "one hundred four million, one hundred thousand, one hundred thirteen".

Divisors: 1 13 163 169 2119 3779 27547 49127 615977 638651 8007701 104100113