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117335319120 = 24335293397467
BaseRepresentation
bin110110101000110111…
…0101110001001010000
3102012212022002210112000
41231101232232021100
53410300320202440
6125523023034000
711322451520325
oct1552156561120
9365768083460
10117335319120
1145841801a18
121a8a743b900
13b0ac118a16
1459714a8b4c
1530bb09a730
hex1b51bae250

117335319120 has 320 divisors, whose sum is σ = 407426423040. Its totient is φ = 31037478912.

The previous prime is 117335319119. The next prime is 117335319121. The reversal of 117335319120 is 21913533711.

It is a happy number.

117335319120 is a `hidden beast` number, since 1 + 1 + 7 + 33 + 531 + 91 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117335319119) and next prime (117335319121).

It is a super-2 number, since 2×1173353191202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117335319121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251253127 + ... + 251253593.

It is an arithmetic number, because the mean of its divisors is an integer number (1273207572).

Almost surely, 2117335319120 is an apocalyptic number.

117335319120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117335319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203713211520).

117335319120 is an abundant number, since it is smaller than the sum of its proper divisors (290091103920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117335319120 is a wasteful number, since it uses less digits than its factorization.

117335319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 117335319120 in words is "one hundred seventeen billion, three hundred thirty-five million, three hundred nineteen thousand, one hundred twenty".