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117225953 = 131937101127
BaseRepresentation
bin1101111110010…
…11100111100001
322011120200202222
412333023213201
5220002212303
615344320425
72622255425
oct677134741
9264520688
10117225953
1160197659
1233313115
131b395390
14117d6b85
15a458938
hex6fcb9e1

117225953 has 32 divisors (see below), whose sum is σ = 138915840. Its totient is φ = 97977600.

The previous prime is 117225937. The next prime is 117225989. The reversal of 117225953 is 359522711.

It is a cyclic number.

It is not a de Polignac number, because 117225953 - 24 = 117225937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117225923) 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 31 ways as a sum of consecutive naturals, for example, 922976 + ... + 923102.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2117225953 is an apocalyptic number.

117225953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

117225953 is a deficient number, since it is larger than the sum of its proper divisors (21689887).

117225953 is a wasteful number, since it uses less digits than its factorization.

117225953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297.

The product of its digits is 18900, while the sum is 35.

The square root of 117225953 is about 10827.0934696252. The cubic root of 117225953 is about 489.4119740591.

The spelling of 117225953 in words is "one hundred seventeen million, two hundred twenty-five thousand, nine hundred fifty-three".

Divisors: 1 13 19 37 101 127 247 481 703 1313 1651 1919 2413 3737 4699 9139 12827 24947 31369 48581 61087 71003 89281 166751 243713 474599 923039 1160653 3168269 6169787 9017381 117225953