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113323120 = 2458871597
BaseRepresentation
bin1101100000100…
…10110001110000
321220020102002121
412300102301300
5213002314440
615124524024
72544142051
oct660226160
9256212077
10113323120
1158a71379
1231b50614
131a629b01
141109c728
159e3734a
hex6c12c70

113323120 has 40 divisors (see below), whose sum is σ = 263938464. Its totient is φ = 45249792.

The previous prime is 113323081. The next prime is 113323121. The reversal of 113323120 is 21323311.

Adding to 113323120 its reverse (21323311), we get a palindrome (134646431).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113323094 and 113323103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70162 + ... + 71758.

Almost surely, 2113323120 is an apocalyptic number.

113323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113323120 is an abundant number, since it is smaller than the sum of its proper divisors (150615344).

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

113323120 is a wasteful number, since it uses less digits than its factorization.

113323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 113323120 is about 10645.3332498330. Note that the first 3 decimals coincide. The cubic root of 113323120 is about 483.9191860154.

The spelling of 113323120 in words is "one hundred thirteen million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 887 1597 1774 3194 3548 4435 6388 7096 7985 8870 12776 14192 15970 17740 25552 31940 35480 63880 70960 127760 1416539 2833078 5666156 7082695 11332312 14165390 22664624 28330780 56661560 113323120