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117101376 = 263472461
BaseRepresentation
bin1101111101011…
…01001101000000
322011100100220000
412332231031000
5214434221001
615341520000
72621226300
oct676551500
9264310800
10117101376
1160111aa7
1233273000
131b350772
14117a3600
15a431a86
hex6fad340

117101376 has 210 divisors, whose sum is σ = 404674578. Its totient is φ = 33384960.

The previous prime is 117101363. The next prime is 117101431. The reversal of 117101376 is 673101711.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 25401600 = 9576^2 + 5040^2 .

It is a super-2 number, since 2×1171013762 = 27425464522186752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253786 + ... + 254246.

Almost surely, 2117101376 is an apocalyptic number.

117101376 is a gapful number since it is divisible by the number (16) 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 117101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202337289).

117101376 is an abundant number, since it is smaller than the sum of its proper divisors (287573202).

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

117101376 is an equidigital number, since it uses as much as digits as its factorization.

117101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 117101376 is about 10821.3389190063. The cubic root of 117101376 is about 489.2385452115.

The spelling of 117101376 in words is "one hundred seventeen million, one hundred one thousand, three hundred seventy-six".