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113202123320 = 235111322388747
BaseRepresentation
bin110100101101101011…
…1110101001000111000
3101211012020202200210002
41221123113311020320
53323314220421240
6124000534212132
711115153112646
oct1513327651070
9354166680702
10113202123320
1144010713820
1219b331b4048
13a8a0a30030
14569c5a2196
152e282b4d15
hex1a5b5f5238

113202123320 has 128 divisors (see below), whose sum is σ = 300578826240. Its totient is φ = 37827095040.

The previous prime is 113202123311. The next prime is 113202123347. The reversal of 113202123320 is 23321202311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113202123292 and 113202123301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231187 + ... + 1319933.

It is an arithmetic number, because the mean of its divisors is an integer number (2348272080).

Almost surely, 2113202123320 is an apocalyptic number.

113202123320 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 113202123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150289413120).

113202123320 is an abundant number, since it is smaller than the sum of its proper divisors (187376702920).

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

113202123320 is a wasteful number, since it uses less digits than its factorization.

113202123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89005 (or 89001 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113202123320 its reverse (23321202311), we get a palindrome (136523325631).

The spelling of 113202123320 in words is "one hundred thirteen billion, two hundred two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 223 260 286 440 446 520 572 715 892 1115 1144 1430 1784 2230 2453 2860 2899 4460 4906 5720 5798 8920 9812 11596 12265 14495 19624 23192 24530 28990 31889 49060 57980 63778 88747 98120 115960 127556 159445 177494 255112 318890 354988 443735 637780 709976 887470 976217 1153711 1275560 1774940 1952434 2307422 3549880 3904868 4614844 4881085 5768555 7809736 9229688 9762170 11537110 12690821 19524340 19790581 23074220 25381642 39048680 39581162 46148440 50763284 63454105 79162324 98952905 101526568 126908210 158324648 197905810 217696391 253816420 257277553 395811620 435392782 507632840 514555106 791623240 870785564 1029110212 1088481955 1286387765 1741571128 2058220424 2176963910 2572775530 2830053083 4353927820 5145551060 5660106166 8707855640 10291102120 11320212332 14150265415 22640424664 28300530830 56601061660 113202123320