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113110144 = 277413079
BaseRepresentation
bin1101011110111…
…10110010000000
321212211120221121
412233132302000
5212424011034
615120202024
72542264120
oct657366200
9255746847
10113110144
1158936364
1231a69314
131a583ba4
1411044c80
159de41b4
hex6bdec80

113110144 has 64 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 47278080.

The previous prime is 113110093. The next prime is 113110157. The reversal of 113110144 is 441011311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35197 + ... + 38275.

It is an arithmetic number, because the mean of its divisors is an integer number (4123350).

Almost surely, 2113110144 is an apocalyptic number.

113110144 is a gapful number since it is divisible by the number (14) 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 113110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

113110144 is an abundant number, since it is smaller than the sum of its proper divisors (150784256).

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

113110144 is an equidigital number, since it uses as much as digits as its factorization.

113110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 113110144 is about 10635.3252888663. The cubic root of 113110144 is about 483.6158416062.

Adding to 113110144 its reverse (441011311), we get a palindrome (554121455).

The spelling of 113110144 in words is "one hundred thirteen million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 3079 4592 5248 6158 9184 12316 18368 21553 24632 36736 43106 49264 86212 98528 126239 172424 197056 252478 344848 394112 504956 689696 883673 1009912 1379392 1767346 2019824 2758784 3534692 4039648 7069384 8079296 14138768 16158592 28277536 56555072 113110144