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113434100 = 22521387257
BaseRepresentation
bin1101100001011…
…01110111110100
321220110001022222
412300231313310
5213014342400
615131141512
72545113443
oct660556764
9256401288
10113434100
115903779a
1231ba4898
131a668490
14110cad5a
159e5a185
hex6c2ddf4

113434100 has 36 divisors (see below), whose sum is σ = 265089804. Its totient is φ = 41882880.

The previous prime is 113434099. The next prime is 113434103. The reversal of 113434100 is 1434311.

It can be written as a sum of positive squares in 6 ways, for example, as 43744996 + 69689104 = 6614^2 + 8348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113434103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42329 + ... + 44928.

Almost surely, 2113434100 is an apocalyptic number.

113434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113434100 is an abundant number, since it is smaller than the sum of its proper divisors (151655704).

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

113434100 is a wasteful number, since it uses less digits than its factorization.

113434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87284 (or 87277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113434100 is about 10650.5445870153. The cubic root of 113434100 is about 484.0771056266.

Adding to 113434100 its reverse (1434311), we get a palindrome (114868411).

The spelling of 113434100 in words is "one hundred thirteen million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 87257 174514 349028 436285 872570 1134341 1745140 2181425 2268682 4362850 4537364 5671705 8725700 11343410 22686820 28358525 56717050 113434100