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102815993 = 720037333
BaseRepresentation
bin1100010000011…
…01100011111001
321011110121000202
412020031203321
5202310102433
614111411545
72355631040
oct610154371
9234417022
10102815993
11530451a5
122a523bb5
13183bb487
14d925557
15905dee8
hex620d8f9

102815993 has 8 divisors (see below), whose sum is σ = 117578688. Its totient is φ = 88071984.

The previous prime is 102815981. The next prime is 102816013. The reversal of 102815993 is 399518201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-102815993 is a prime.

It is a super-2 number, since 2×1028159932 = 21142256833152098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102815953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10355 + ... + 17687.

It is an arithmetic number, because the mean of its divisors is an integer number (14697336).

Almost surely, 2102815993 is an apocalyptic number.

It is an amenable number.

102815993 is a deficient number, since it is larger than the sum of its proper divisors (14762695).

102815993 is an equidigital number, since it uses as much as digits as its factorization.

102815993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343.

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 102815993 is about 10139.8221384796. The cubic root of 102815993 is about 468.4755086751.

The spelling of 102815993 in words is "one hundred two million, eight hundred fifteen thousand, nine hundred ninety-three".

Divisors: 1 7 2003 7333 14021 51331 14687999 102815993