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113435010 = 23251396953
BaseRepresentation
bin1101100001011…
…10000110000010
321220110002120200
412300232012002
5213014410020
615131150030
72545116213
oct660560602
9256402520
10113435010
1159038447
1231ba5316
131a668a10
14110cb40a
159e5a590
hex6c2e182

113435010 has 48 divisors (see below), whose sum is σ = 317621304. Its totient is φ = 27922176.

The previous prime is 113434991. The next prime is 113435029. The reversal of 113435010 is 10534311.

It is an interprime number because it is at equal distance from previous prime (113434991) and next prime (113435029).

It can be written as a sum of positive squares in 4 ways, for example, as 93373569 + 20061441 = 9663^2 + 4479^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47307 + ... + 49646.

Almost surely, 2113435010 is an apocalyptic number.

113435010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113435010 is an abundant number, since it is smaller than the sum of its proper divisors (204186294).

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

113435010 is a wasteful number, since it uses less digits than its factorization.

113435010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96979 (or 96976 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113435010 is about 10650.5873077497. The cubic root of 113435010 is about 484.0784000903.

Adding to 113435010 its reverse (10534311), we get a palindrome (123969321).

The spelling of 113435010 in words is "one hundred thirteen million, four hundred thirty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 96953 193906 290859 484765 581718 872577 969530 1260389 1454295 1745154 2520778 2908590 3781167 4362885 6301945 7562334 8725770 11343501 12603890 18905835 22687002 37811670 56717505 113435010