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113301001220 = 225115318475261
BaseRepresentation
bin110100110000101000…
…1000001010000000100
3101211110010211012202112
41221201101001100010
53324020024014340
6124014425400152
711120463422501
oct1514121012004
9354403735675
10113301001220
11440615091a0
1219b60339058
13a8b836cb74
1456ab7804a8
152e31ce7065
hex1a61441404

113301001220 has 96 divisors (see below), whose sum is σ = 264653174016. Its totient is φ = 40393433600.

The previous prime is 113301001213. The next prime is 113301001271. The reversal of 113301001220 is 22100103311.

It is a junction number, because it is equal to n+sod(n) for n = 113301001195 and 113301001204.

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 31 ways as a sum of consecutive naturals, for example, 21533390 + ... + 21538650.

It is an arithmetic number, because the mean of its divisors is an integer number (2756803896).

Almost surely, 2113301001220 is an apocalyptic number.

113301001220 is a gapful number since it is divisible by the number (10) 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 113301001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132326587008).

113301001220 is an abundant number, since it is smaller than the sum of its proper divisors (151352172796).

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

113301001220 is a wasteful number, since it uses less digits than its factorization.

113301001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113301001220 its reverse (22100103311), we get a palindrome (135401104531).

The spelling of 113301001220 in words is "one hundred thirteen billion, three hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1847 2332 2915 3694 5261 5830 7388 9235 10522 11660 18470 20317 21044 26305 36940 40634 52610 57871 81268 97891 101585 105220 115742 195782 203170 231484 278833 289355 391564 406340 489455 557666 578710 978910 1076801 1115332 1157420 1394165 1957820 2153602 2788330 3067163 4307204 5384005 5576660 6134326 9717067 10768010 12268652 15335815 19434134 21536020 30671630 38868268 48585335 61343260 97170670 106887737 194341340 213775474 427550948 515004551 534438685 1030009102 1068877370 2060018204 2137754740 2575022755 5150045510 5665050061 10300091020 11330100122 22660200244 28325250305 56650500610 113301001220