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113405130 = 23351731797
BaseRepresentation
bin1101100001001…
…10110011001010
321220101120121000
412300212303022
5213012431010
615130355430
72544633126
oct660466312
9256346530
10113405130
1159017a53
1231b8bb76
131a658237
14110c0586
159e517c0
hex6c26cca

113405130 has 128 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 27509760.

The previous prime is 113405119. The next prime is 113405143. The reversal of 113405130 is 31504311.

113405130 is a `hidden beast` number, since 113 + 40 + 513 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141892 + ... + 142688.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2113405130 is an apocalyptic number.

113405130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113405130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

113405130 is an abundant number, since it is smaller than the sum of its proper divisors (217541430).

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

113405130 is a wasteful number, since it uses less digits than its factorization.

113405130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

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

The square root of 113405130 is about 10649.1844758179. The cubic root of 113405130 is about 484.0358925412.

Adding to 113405130 its reverse (31504311), we get a palindrome (144909441).

The spelling of 113405130 in words is "one hundred thirteen million, four hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 85 90 93 102 135 153 155 170 186 255 270 279 306 310 459 465 510 527 558 765 797 837 918 930 1054 1395 1530 1581 1594 1674 2295 2391 2635 2790 3162 3985 4185 4590 4743 4782 5270 7173 7905 7970 8370 9486 11955 13549 14229 14346 15810 21519 23715 23910 24707 27098 28458 35865 40647 43038 47430 49414 67745 71145 71730 74121 81294 107595 121941 123535 135490 142290 148242 203235 215190 222363 243882 247070 365823 370605 406470 420019 444726 609705 667089 731646 741210 840038 1111815 1219410 1260057 1334178 1829115 2100095 2223630 2520114 3335445 3658230 3780171 4200190 6300285 6670890 7560342 11340513 12600570 18900855 22681026 37801710 56702565 113405130