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113312321430 = 235711479102407
BaseRepresentation
bin110100110000111110…
…0001100111110010110
3101211110221010100011120
41221201330030332112
53324030423241210
6124015512144410
711120661561150
oct1514174147626
9354427110146
10113312321430
1144067940240
1219b64098106
13a8ba804609
1456ad089ad0
152e32cd1270
hex1a61f0cf96

113312321430 has 128 divisors (see below), whose sum is σ = 339765166080. Its totient is φ = 23496032640.

The previous prime is 113312321411. The next prime is 113312321431. The reversal of 113312321430 is 34123213311.

It is a self number, because there is not a number n which added to its sum of digits gives 113312321430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312321431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055287 + ... + 1157693.

It is an arithmetic number, because the mean of its divisors is an integer number (2654415360).

Almost surely, 2113312321430 is an apocalyptic number.

113312321430 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 113312321430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169882583040).

113312321430 is an abundant number, since it is smaller than the sum of its proper divisors (226452844650).

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

113312321430 is a wasteful number, since it uses less digits than its factorization.

113312321430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102914.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113312321430 its reverse (34123213311), we get a palindrome (147435534741).

The spelling of 113312321430 in words is "one hundred thirteen billion, three hundred twelve million, three hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 479 770 958 1155 1437 2310 2395 2874 3353 4790 5269 6706 7185 10059 10538 14370 15807 16765 20118 26345 31614 33530 36883 50295 52690 73766 79035 100590 102407 110649 158070 184415 204814 221298 307221 368830 512035 553245 614442 716849 1024070 1106490 1126477 1433698 1536105 2150547 2252954 3072210 3379431 3584245 4301094 5632385 6758862 7168490 7885339 10752735 11264770 15770678 16897155 21505470 23656017 33794310 39426695 47312034 49052953 78853390 98105906 118280085 147158859 236560170 245264765 294317718 343370671 490529530 539582483 686741342 735794295 1030112013 1079164966 1471588590 1618747449 1716853355 2060224026 2697912415 3237494898 3433706710 3777077381 5150560065 5395824830 7554154762 8093737245 10301120130 11331232143 16187474490 18885386905 22662464286 37770773810 56656160715 113312321430