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113120352 = 25324761137
BaseRepresentation
bin1101011111000…
…01010001100000
321212212002221200
412233201101200
5212424322402
615120321200
72542335642
oct657412140
9255762850
10113120352
1158942aa4
1231a73200
131a588727
1411048892
159de721c
hex6be1460

113120352 has 144 divisors (see below), whose sum is σ = 336353472. Its totient is φ = 36034560.

The previous prime is 113120347. The next prime is 113120377. The reversal of 113120352 is 253021311.

113120352 is a `hidden beast` number, since 1 + 1 + 312 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825628 + ... + 825764.

It is an arithmetic number, because the mean of its divisors is an integer number (2335788).

Almost surely, 2113120352 is an apocalyptic number.

113120352 is a gapful number since it is divisible by the number (12) 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 113120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176736).

113120352 is an abundant number, since it is smaller than the sum of its proper divisors (223233120).

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

113120352 is a wasteful number, since it uses less digits than its factorization.

113120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113120352 is about 10635.8051881369. The cubic root of 113120352 is about 483.6303896736.

Adding to 113120352 its reverse (253021311), we get a palindrome (366141663).

The spelling of 113120352 in words is "one hundred thirteen million, one hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 61 72 94 96 122 137 141 144 183 188 244 274 282 288 366 376 411 423 488 548 549 564 732 752 822 846 976 1096 1098 1128 1233 1464 1504 1644 1692 1952 2192 2196 2256 2466 2867 2928 3288 3384 4384 4392 4512 4932 5734 5856 6439 6576 6768 8357 8601 8784 9864 11468 12878 13152 13536 16714 17202 17568 19317 19728 22936 25071 25756 25803 33428 34404 38634 39456 45872 50142 51512 51606 57951 66856 68808 75213 77268 91744 100284 103024 103212 115902 133712 137616 150426 154536 200568 206048 206424 231804 267424 275232 300852 309072 392779 401136 412848 463608 601704 618144 785558 802272 825696 927216 1178337 1203408 1571116 1854432 2356674 2406816 3142232 3535011 4713348 6284464 7070022 9426696 12568928 14140044 18853392 28280088 37706784 56560176 113120352