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113101032 = 233111912243
BaseRepresentation
bin1101011110111…
…00100011101000
321212211010110010
412233130203220
5212423213112
615120051520
72542225422
oct657344350
9255733403
10113101032
115892a530
1231a63ba0
131a57c9b5
1411041812
159de163c
hex6bdc8e8

113101032 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 34078400.

The previous prime is 113101019. The next prime is 113101057. The reversal of 113101032 is 230101311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113100999 and 113101017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49303 + ... + 51545.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2113101032 is an apocalyptic number.

113101032 is a gapful number since it is divisible by the number (12) 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 113101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

113101032 is an abundant number, since it is smaller than the sum of its proper divisors (197109528).

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

113101032 is a wasteful number, since it uses less digits than its factorization.

113101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113101032 is about 10634.8968965383. The cubic root of 113101032 is about 483.6028547784.

Adding to 113101032 its reverse (230101311), we get a palindrome (343202343).

The spelling of 113101032 in words is "one hundred thirteen million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 573 764 1146 1528 2101 2243 2292 4202 4486 4584 6303 6729 8404 8972 12606 13458 16808 17944 24673 25212 26916 49346 50424 53832 74019 98692 148038 197384 296076 428413 592152 856826 1285239 1713652 2570478 3427304 4712543 5140956 9425086 10281912 14137629 18850172 28275258 37700344 56550516 113101032