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103095993 = 37112133121
BaseRepresentation
bin1100010010100…
…01111010111001
321011222211010010
412021101322321
5202343032433
614121412133
72361205260
oct611217271
9234884103
10103095993
1153216600
122a63a049
1318488a60
14d9995d7
1590b6e63
hex6251eb9

103095993 has 48 divisors (see below), whose sum is σ = 186021248. Its totient is φ = 49420800.

The previous prime is 103095989. The next prime is 103096013. The reversal of 103095993 is 399590301.

It is not a de Polignac number, because 103095993 - 22 = 103095989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (103095943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31473 + ... + 34593.

Almost surely, 2103095993 is an apocalyptic number.

103095993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103095993 is a deficient number, since it is larger than the sum of its proper divisors (82925255).

103095993 is a wasteful number, since it uses less digits than its factorization.

103095993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 39.

The square root of 103095993 is about 10153.6196993978. The cubic root of 103095993 is about 468.9003914951.

The spelling of 103095993 in words is "one hundred three million, ninety-five thousand, nine hundred ninety-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 3121 4719 9363 11011 21847 33033 34331 40573 65541 102993 121719 240317 284011 377641 446303 720951 852033 1132923 1338909 2643487 3124121 4909333 7930461 9372363 14727999 34365331 103095993