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113350133 = 13893132
BaseRepresentation
bin1101100000110…
…01010111110101
321220021210011002
412300121113311
5213004201013
615125253045
72544313601
oct660312765
9256253132
10113350133
1158a8a6a6
1231b64185
131a6391b0
14110a8501
159e40358
hex6c195f5

113350133 has 12 divisors (see below), whose sum is σ = 123836580. Its totient is φ = 103124736.

The previous prime is 113350123. The next prime is 113350147. The reversal of 113350133 is 331053311.

It can be written as a sum of positive squares in 6 ways, for example, as 86899684 + 26450449 = 9322^2 + 5143^2 .

It is not a de Polignac number, because 113350133 - 222 = 109155829 is a prime.

It is a super-2 number, since 2×1133501332 = 25696505302235378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113350103) 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, 361985 + ... + 362297.

It is an arithmetic number, because the mean of its divisors is an integer number (10319715).

Almost surely, 2113350133 is an apocalyptic number.

113350133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113350133 is a deficient number, since it is larger than the sum of its proper divisors (10486447).

113350133 is an frugal number, since it uses more digits than its factorization.

113350133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 113350133 is about 10646.6019461610. The cubic root of 113350133 is about 483.9576338050.

The spelling of 113350133 in words is "one hundred thirteen million, three hundred fifty thousand, one hundred thirty-three".

Divisors: 1 13 89 313 1157 4069 27857 97969 362141 1273597 8719241 113350133