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113354300 = 225217131509
BaseRepresentation
bin1101100000110…
…10011000111100
321220021222212102
412300122120330
5213004314200
615125324232
72544332003
oct660323074
9256258772
10113354300
1158a92844
1231b66678
131a63b067
14110a9c3a
159e416d5
hex6c1a63c

113354300 has 72 divisors (see below), whose sum is σ = 262951920. Its totient is φ = 42265600.

The previous prime is 113354261. The next prime is 113354369. The reversal of 113354300 is 3453311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222446 + ... + 222954.

It is an arithmetic number, because the mean of its divisors is an integer number (3652110).

Almost surely, 2113354300 is an apocalyptic number.

113354300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113354300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131475960).

113354300 is an abundant number, since it is smaller than the sum of its proper divisors (149597620).

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

113354300 is a wasteful number, since it uses less digits than its factorization.

113354300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 113354300 is about 10646.7976406054. The cubic root of 113354300 is about 483.9635641811.

The spelling of 113354300 in words is "one hundred thirteen million, three hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 131 170 262 340 425 509 524 655 850 1018 1310 1700 2036 2227 2545 2620 3275 4454 5090 6550 8653 8908 10180 11135 12725 13100 17306 22270 25450 34612 43265 44540 50900 55675 66679 86530 111350 133358 173060 216325 222700 266716 333395 432650 666790 865300 1133543 1333580 1666975 2267086 3333950 4534172 5667715 6667900 11335430 22670860 28338575 56677150 113354300