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113121180 = 223253971583
BaseRepresentation
bin1101011111000…
…01011110011100
321212212011002100
412233201132130
5212424334210
615120325100
72542341234
oct657413634
9255764070
10113121180
1158943687
1231a73790
131a588c13
1411048cc4
159de75c0
hex6be179c

113121180 has 72 divisors (see below), whose sum is σ = 344215872. Its totient is φ = 30070656.

The previous prime is 113121167. The next prime is 113121187. The reversal of 113121180 is 81121311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70669 + ... + 72251.

It is an arithmetic number, because the mean of its divisors is an integer number (4780776).

Almost surely, 2113121180 is an apocalyptic number.

113121180 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 113121180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172107936).

113121180 is an abundant number, since it is smaller than the sum of its proper divisors (231094692).

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

113121180 is a wasteful number, since it uses less digits than its factorization.

113121180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 113121180 is about 10635.8441131863. The cubic root of 113121180 is about 483.6315696705.

Adding to 113121180 its reverse (81121311), we get a palindrome (194242491).

The spelling of 113121180 in words is "one hundred thirteen million, one hundred twenty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1583 1588 1985 2382 3166 3573 3970 4749 4764 5955 6332 7146 7915 7940 9498 11910 14247 14292 15830 17865 18996 23745 23820 28494 31660 35730 47490 56988 71235 71460 94980 142470 284940 628451 1256902 1885353 2513804 3142255 3770706 5656059 6284510 7541412 9426765 11312118 12569020 18853530 22624236 28280295 37707060 56560590 113121180