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113110128 = 24331072447
BaseRepresentation
bin1101011110111…
…10110001110000
321212211120221000
412233132301300
5212424011003
615120202000
72542264065
oct657366160
9255746830
10113110128
115893634a
1231a69300
131a583b91
1411044c6c
159de41a3
hex6bdec70

113110128 has 80 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 37335744.

The previous prime is 113110093. The next prime is 113110157. The reversal of 113110128 is 821011311.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113110128.

It is a congruent number.

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, 45001 + ... + 47447.

It is an arithmetic number, because the mean of its divisors is an integer number (4097952).

Almost surely, 2113110128 is an apocalyptic number.

113110128 is a gapful number since it is divisible by the number (18) 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 113110128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

113110128 is an abundant number, since it is smaller than the sum of its proper divisors (214726032).

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

113110128 is a wasteful number, since it uses less digits than its factorization.

113110128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2559 counting only the distinct ones).

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

The square root of 113110128 is about 10635.3245366561. The cubic root of 113110128 is about 483.6158188029.

Adding to 113110128 its reverse (821011311), we get a palindrome (934121439).

The spelling of 113110128 in words is "one hundred thirteen million, one hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2447 2568 2889 3852 4894 5136 5778 7341 7704 9788 11556 14682 15408 19576 22023 23112 29364 39152 44046 46224 58728 66069 88092 117456 132138 176184 261829 264276 352368 523658 528552 785487 1047316 1057104 1570974 2094632 2356461 3141948 4189264 4712922 6283896 7069383 9425844 12567792 14138766 18851688 28277532 37703376 56555064 113110128