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113321130 = 235131941373
BaseRepresentation
bin1101100000100…
…10010010101010
321220020022100220
412300102102222
5213002234010
615124510510
72544133206
oct660222252
9256208326
10113321130
1158a6a92a
1231b4b436
131a628c30
141109bb06
159e36970
hex6c124aa

113321130 has 128 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 25712640.

The previous prime is 113321113. The next prime is 113321189. The reversal of 113321130 is 31123311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303624 + ... + 303996.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2113321130 is an apocalyptic number.

113321130 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 113321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

113321130 is an abundant number, since it is smaller than the sum of its proper divisors (203352150).

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

113321130 is a wasteful number, since it uses less digits than its factorization.

113321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113321130 is about 10645.2397812356. The cubic root of 113321130 is about 483.9163533930.

Adding to 113321130 its reverse (31123311), we get a palindrome (144444441).

The spelling of 113321130 in words is "one hundred thirteen million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 41 57 65 78 82 95 114 123 130 190 195 205 246 247 285 373 390 410 494 533 570 615 741 746 779 1066 1119 1230 1235 1482 1558 1599 1865 2238 2337 2470 2665 3198 3705 3730 3895 4674 4849 5330 5595 7087 7410 7790 7995 9698 10127 11190 11685 14174 14547 15293 15990 20254 21261 23370 24245 29094 30381 30586 35435 42522 45879 48490 50635 60762 70870 72735 76465 91758 92131 101270 106305 145470 151905 152930 184262 198809 212610 229395 276393 290567 303810 397618 458790 460655 552786 581134 596427 871701 921310 994045 1192854 1381965 1452835 1743402 1988090 2763930 2905670 2982135 3777371 4358505 5964270 7554742 8717010 11332113 18886855 22664226 37773710 56660565 113321130