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113004333 = 32131098861
BaseRepresentation
bin1101011110001…
…00111100101101
321212122012210200
412233010330231
5212412114313
615114024113
72541343461
oct657047455
9255565720
10113004333
1158873912
1231a18039
131a547990
14110184a1
159dc2b73
hex6bc4f2d

113004333 has 24 divisors (see below), whose sum is σ = 177417240. Its totient is φ = 68895360.

The previous prime is 113004319. The next prime is 113004337. The reversal of 113004333 is 333400311.

It can be written as a sum of positive squares in 4 ways, for example, as 40106889 + 72897444 = 6333^2 + 8538^2 .

It is not a de Polignac number, because 113004333 - 24 = 113004317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113004337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8323 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (7392385).

Almost surely, 2113004333 is an apocalyptic number.

113004333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113004333 is a deficient number, since it is larger than the sum of its proper divisors (64412907).

113004333 is a wasteful number, since it uses less digits than its factorization.

113004333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 113004333 is about 10630.3496179571. The cubic root of 113004333 is about 483.4649920630.

Adding to 113004333 its reverse (333400311), we get a palindrome (446404644).

The spelling of 113004333 in words is "one hundred thirteen million, four thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 109 117 327 981 1417 4251 8861 12753 26583 79749 115193 345579 965849 1036737 2897547 8692641 12556037 37668111 113004333