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83103117 = 3234672579
BaseRepresentation
bin1001111010000…
…00110110001101
312210101002001020
410331000312031
5132233244432
612125104353
72026236066
oct475006615
9183332036
1083103117
1142a00669
12239b80b9
13142a8956
14b07356d
15746822c
hex4f40d8d

83103117 has 16 divisors (see below), whose sum is σ = 115914240. Its totient is φ = 52859312.

The previous prime is 83103109. The next prime is 83103121. The reversal of 83103117 is 71130138.

It is a cyclic number.

It is not a de Polignac number, because 83103117 - 23 = 83103109 is a prime.

It is a super-2 number, since 2×831031172 = 13812256110231378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83103197) 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 15 ways as a sum of consecutive naturals, for example, 30934 + ... + 33512.

It is an arithmetic number, because the mean of its divisors is an integer number (7244640).

Almost surely, 283103117 is an apocalyptic number.

It is an amenable number.

83103117 is a deficient number, since it is larger than the sum of its proper divisors (32811123).

83103117 is a wasteful number, since it uses less digits than its factorization.

83103117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 83103117 is about 9116.0911030990. The cubic root of 83103117 is about 436.3876364207.

The spelling of 83103117 in words is "eighty-three million, one hundred three thousand, one hundred seventeen".

Divisors: 1 3 23 69 467 1401 2579 7737 10741 32223 59317 177951 1204393 3613179 27701039 83103117