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117001095045120 = 213365112134753
BaseRepresentation
bin11010100110100101110000…
…101101010110000000000000
3120100021012021111000211000000
4122212211300231112000000
5110313421220312420440
61052501321104000000
733434023130515326
oct3246456055260000
9510235244024000
10117001095045120
1134309981a39100
121115771a000000
135039204734380
1420c6c51785d16
15d7d701119730
hex6a6970b56000

117001095045120 has 4704 divisors, whose sum is σ = 518536721437056. Its totient is φ = 25141507522560.

The previous prime is 117001095045119. The next prime is 117001095045137. The reversal of 117001095045120 is 21540590100711.

117001095045120 is a `hidden beast` number, since 1 + 1 + 70 + 0 + 10 + 9 + 504 + 51 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2207567831014 + ... + 2207567831066.

It is an arithmetic number, because the mean of its divisors is an integer number (110233146564).

Almost surely, 2117001095045120 is an apocalyptic number.

117001095045120 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 117001095045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259268360718528).

117001095045120 is an abundant number, since it is smaller than the sum of its proper divisors (401535626391936).

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

117001095045120 is an equidigital number, since it uses as much as digits as its factorization.

117001095045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 117001095045120 in words is "one hundred seventeen trillion, one billion, ninety-five million, forty-five thousand, one hundred twenty".