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113026100 = 22521129341
BaseRepresentation
bin1101011110010…
…10010000110100
321212200022122212
412233022100310
5212413313400
615114312552
72541464105
oct657122064
9255608585
10113026100
1158889200
1231a28758
131a554865
14110223ac
159dc9335
hex6bca434

113026100 has 54 divisors (see below), whose sum is σ = 269619462. Its totient is φ = 41096000.

The previous prime is 113026097. The next prime is 113026139. The reversal of 113026100 is 1620311.

It can be written as a sum of positive squares in 3 ways, for example, as 2439844 + 110586256 = 1562^2 + 10516^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7430 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (4992953).

Almost surely, 2113026100 is an apocalyptic number.

113026100 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 113026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134809731).

113026100 is an abundant number, since it is smaller than the sum of its proper divisors (156593362).

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

113026100 is a wasteful number, since it uses less digits than its factorization.

113026100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113026100 is about 10631.3733825880. The cubic root of 113026100 is about 483.4960318959.

Adding to 113026100 its reverse (1620311), we get a palindrome (114646411).

The spelling of 113026100 in words is "one hundred thirteen million, twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 9341 12100 18682 37364 46705 93410 102751 186820 205502 233525 411004 467050 513755 934100 1027510 1130261 2055020 2260522 2568775 4521044 5137550 5651305 10275100 11302610 22605220 28256525 56513050 113026100