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117658101 = 31121911697
BaseRepresentation
bin1110000001101…
…01000111110101
322012101122120110
413000311013311
5220110024401
615401453233
72626035351
oct700650765
9265348513
10117658101
1160462300
12334a1219
131b4b6ca2
14118aa461
15a4e19d6
hex70351f5

117658101 has 24 divisors (see below), whose sum is σ = 173440512. Its totient is φ = 70892800.

The previous prime is 117658067. The next prime is 117658103. The reversal of 117658101 is 101856711.

It is not a de Polignac number, because 117658101 - 217 = 117527029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117658103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68485 + ... + 70181.

It is an arithmetic number, because the mean of its divisors is an integer number (7226688).

Almost surely, 2117658101 is an apocalyptic number.

117658101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117658101 is a deficient number, since it is larger than the sum of its proper divisors (55782411).

117658101 is a wasteful number, since it uses less digits than its factorization.

117658101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

The square root of 117658101 is about 10847.0318981738. The cubic root of 117658101 is about 490.0126346874.

The spelling of 117658101 in words is "one hundred seventeen million, six hundred fifty-eight thousand, one hundred one".

Divisors: 1 3 11 33 121 191 363 573 1697 2101 5091 6303 18667 23111 56001 69333 205337 324127 616011 972381 3565397 10696191 39219367 117658101