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10010117 = 133159421
BaseRepresentation
bin100110001011…
…111000000101
3200211120022002
4212023320011
510030310432
6554315045
7151041005
oct46137005
920746262
1010010117
115717827
123428a85
1320c6360
141488005
15d2ae62
hex98be05

10010117 has 16 divisors (see below), whose sum is σ = 11343360. Its totient is φ = 8769600.

The previous prime is 10010113. The next prime is 10010141. The reversal of 10010117 is 71101001.

It is a cyclic number.

It is not a de Polignac number, because 10010117 - 22 = 10010113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010098 and 10010107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010113) 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 15 ways as a sum of consecutive naturals, for example, 23567 + ... + 23987.

It is an arithmetic number, because the mean of its divisors is an integer number (708960).

Almost surely, 210010117 is an apocalyptic number.

It is an amenable number.

10010117 is a deficient number, since it is larger than the sum of its proper divisors (1333243).

10010117 is a wasteful number, since it uses less digits than its factorization.

10010117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 10010117 is about 3163.8768939388. The cubic root of 10010117 is about 215.5160992346.

Adding to 10010117 its reverse (71101001), we get a palindrome (81111118).

The spelling of 10010117 in words is "ten million, ten thousand, one hundred seventeen".

Divisors: 1 13 31 59 403 421 767 1829 5473 13051 23777 24839 169663 322907 770009 10010117