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117003159 = 327131973103
BaseRepresentation
bin1101111100101…
…01001110010111
322011011101011100
412332111032113
5214423100114
615335441143
72620340040
oct676251627
9264141140
10117003159
1160055229
12332261b3
131b317b50
14117798c7
15a412909
hex6f95397

117003159 has 96 divisors (see below), whose sum is σ = 224107520. Its totient is φ = 57106944.

The previous prime is 117003157. The next prime is 117003179. The reversal of 117003159 is 951300711.

It is a happy number.

It is not a de Polignac number, because 117003159 - 21 = 117003157 is a prime.

117003159 is a modest number, since divided by 3159 gives 117 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117003157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135902 + ... + 1136004.

Almost surely, 2117003159 is an apocalyptic number.

117003159 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

117003159 is a deficient number, since it is larger than the sum of its proper divisors (107104361).

117003159 is a wasteful number, since it uses less digits than its factorization.

117003159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 117003159 is about 10816.7998502330. The cubic root of 117003159 is about 489.1017264872.

The spelling of 117003159 in words is "one hundred seventeen million, three thousand, one hundred fifty-nine".

Divisors: 1 3 7 9 13 19 21 39 57 63 73 91 103 117 133 171 219 247 273 309 399 511 657 721 741 819 927 949 1197 1339 1387 1533 1729 1957 2163 2223 2847 4017 4161 4599 5187 5871 6489 6643 7519 8541 9373 9709 12051 12483 13699 15561 17613 18031 19929 22557 25441 28119 29127 41097 52633 54093 59787 67671 76323 84357 87381 97747 123291 126217 142861 157899 162279 178087 228969 293241 378651 428583 473697 534261 684229 879723 1000027 1135953 1285749 1602783 1857193 2052687 3000081 5571579 6158061 9000243 13000351 16714737 39001053 117003159