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113210010 = 23253733997
BaseRepresentation
bin1101011111101…
…11001010011010
321220000122221100
412233313022122
5212440210020
615122252230
72543161224
oct657671232
9256018840
10113210010
11589a43a1
1231ab7076
131a5ba494
141106d414
159e13a90
hex6bf729a

113210010 has 48 divisors (see below), whose sum is σ = 302310216. Its totient is φ = 29372544.

The previous prime is 113210003. The next prime is 113210017. The reversal of 113210010 is 10012311.

It is an interprime number because it is at equal distance from previous prime (113210003) and next prime (113210017).

It can be written as a sum of positive squares in 4 ways, for example, as 109558089 + 3651921 = 10467^2 + 1911^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 113209974 and 113210001.

It is not an unprimeable number, because it can be changed into a prime (113210017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13669 + ... + 20328.

Almost surely, 2113210010 is an apocalyptic number.

113210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113210010 is an abundant number, since it is smaller than the sum of its proper divisors (189100206).

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

113210010 is a wasteful number, since it uses less digits than its factorization.

113210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34047 (or 34044 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 113210010 is about 10640.0192668998. The cubic root of 113210010 is about 483.7581293828.

Adding to 113210010 its reverse (10012311), we get a palindrome (123222321).

The spelling of 113210010 in words is "one hundred thirteen million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 33997 67994 101991 169985 203982 305973 339970 509955 611946 1019910 1257889 1529865 2515778 3059730 3773667 6289445 7547334 11321001 12578890 18868335 22642002 37736670 56605005 113210010