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113510144 = 2811173233
BaseRepresentation
bin1101100010000…
…00011100000000
321220120220122102
412301000130000
5213024311034
615132525532
72545551236
oct661003400
9256526572
10113510144
1159089940
12320208a8
131a693c87
141110a956
159e7297e
hex6c40700

113510144 has 72 divisors (see below), whose sum is σ = 249670512. Its totient is φ = 51077120.

The previous prime is 113510141. The next prime is 113510149. The reversal of 113510144 is 441015311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113510141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487052 + ... + 487284.

It is an arithmetic number, because the mean of its divisors is an integer number (3467646).

Almost surely, 2113510144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124835256).

113510144 is an abundant number, since it is smaller than the sum of its proper divisors (136160368).

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

113510144 is a wasteful number, since it uses less digits than its factorization.

113510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 113510144 is about 10654.1139472037. The cubic root of 113510144 is about 484.1852534019.

Adding to 113510144 its reverse (441015311), we get a palindrome (554525455).

The spelling of 113510144 in words is "one hundred thirteen million, five hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 233 256 346 352 466 692 704 932 1384 1408 1864 1903 2563 2768 2816 3728 3806 5126 5536 7456 7612 10252 11072 14912 15224 20504 22144 29824 30448 40309 41008 44288 59648 60896 80618 82016 121792 161236 164032 243584 322472 328064 443399 487168 644944 656128 886798 1289888 1773596 2579776 3547192 5159552 7094384 10319104 14188768 28377536 56755072 113510144