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113118120 = 2334534913
BaseRepresentation
bin1101011111000…
…00101110101000
321212211222220000
412233200232220
5212424234440
615120303000
72542326303
oct657405650
9255758800
10113118120
1158941355
1231a71a60
131a5876cb
1411047b3a
159de6730
hex6be0ba8

113118120 has 80 divisors (see below), whose sum is σ = 380213460. Its totient is φ = 30163968.

The previous prime is 113118073. The next prime is 113118121. The reversal of 113118120 is 21811311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112402404 + 715716 = 10602^2 + 846^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113118093 and 113118102.

It is not an unprimeable number, because it can be changed into a prime (113118121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14217 + ... + 20696.

Almost surely, 2113118120 is an apocalyptic number.

113118120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113118120 is an abundant number, since it is smaller than the sum of its proper divisors (267095340).

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

113118120 is a wasteful number, since it uses less digits than its factorization.

113118120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34936 (or 34923 counting only the distinct ones).

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

The square root of 113118120 is about 10635.7002590333. The cubic root of 113118120 is about 483.6272087838.

Adding to 113118120 its reverse (21811311), we get a palindrome (134929431).

The spelling of 113118120 in words is "one hundred thirteen million, one hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 34913 69826 104739 139652 174565 209478 279304 314217 349130 418956 523695 628434 698260 837912 942651 1047390 1256868 1396520 1571085 1885302 2094780 2513736 2827953 3142170 3770604 4189560 4713255 5655906 6284340 7541208 9426510 11311812 12568680 14139765 18853020 22623624 28279530 37706040 56559060 113118120