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113050120 = 23529412377
BaseRepresentation
bin1101011110100…
…00001000001000
321212201112121111
412233100020020
5212420100440
615115020104
72541624121
oct657201010
9255645544
10113050120
11588a5257
1231a3a634
131a562781
141102b048
159dd14ea
hex6bd0208

113050120 has 64 divisors (see below), whose sum is σ = 269665200. Its totient is φ = 42577920.

The previous prime is 113050099. The next prime is 113050123. The reversal of 113050120 is 21050311.

It can be written as a sum of positive squares in 8 ways, for example, as 16499844 + 96550276 = 4062^2 + 9826^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113050120.

It is not an unprimeable number, because it can be changed into a prime (113050123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46372 + ... + 48748.

Almost surely, 2113050120 is an apocalyptic number.

113050120 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 113050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134832600).

113050120 is an abundant number, since it is smaller than the sum of its proper divisors (156615080).

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

113050120 is a wasteful number, since it uses less digits than its factorization.

113050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 113050120 is about 10632.5029978834. The cubic root of 113050120 is about 483.5302798914.

The spelling of 113050120 in words is "one hundred thirteen million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2377 2378 4754 4756 5945 9508 9512 11885 11890 19016 23770 23780 47540 47560 68933 95080 97457 137866 194914 275732 344665 389828 487285 551464 689330 779656 974570 1378660 1949140 2757320 2826253 3898280 5652506 11305012 14131265 22610024 28262530 56525060 113050120