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113322120 = 23353725523
BaseRepresentation
bin1101100000100…
…10100010001000
321220020100201120
412300102202020
5213002301440
615124515240
72544136122
oct660224210
9256210646
10113322120
1158a7064a
1231b4bb20
131a629512
141109c212
159e36dd0
hex6c12888

113322120 has 64 divisors (see below), whose sum is σ = 349168320. Its totient is φ = 29401344.

The previous prime is 113322091. The next prime is 113322179. The reversal of 113322120 is 21223311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113322120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8322 + ... + 17201.

It is an arithmetic number, because the mean of its divisors is an integer number (5455755).

Almost surely, 2113322120 is an apocalyptic number.

113322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113322120 is an abundant number, since it is smaller than the sum of its proper divisors (235846200).

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

113322120 is a wasteful number, since it uses less digits than its factorization.

113322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25574 (or 25570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113322120 is about 10645.2862807911. The cubic root of 113322120 is about 483.9177625912.

Adding to 113322120 its reverse (21223311), we get a palindrome (134545431).

The spelling of 113322120 in words is "one hundred thirteen million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 25523 51046 76569 102092 127615 153138 204184 255230 306276 382845 510460 612552 765690 944351 1020920 1531380 1888702 2833053 3062760 3777404 4721755 5666106 7554808 9443510 11332212 14165265 18887020 22664424 28330530 37774040 56661060 113322120