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113311469328 = 243313715713109
BaseRepresentation
bin110100110000111100…
…0111100111100010000
3101211110212112001022020
41221201320330330100
53324030214004303
6124015442011440
711120651411661
oct1514170747420
9354425461266
10113311469328
1144067409022
1219b63946b80
13a8ba596805
1456acd07368
152e32bb3a53
hex1a61e3cf10

113311469328 has 160 divisors (see below), whose sum is σ = 312330961920. Its totient is φ = 35334973440.

The previous prime is 113311469311. The next prime is 113311469417. The reversal of 113311469328 is 823964113311.

It is a self number, because there is not a number n which added to its sum of digits gives 113311469328.

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, 8637238 + ... + 8650346.

It is an arithmetic number, because the mean of its divisors is an integer number (1952068512).

Almost surely, 2113311469328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113311469328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156165480960).

113311469328 is an abundant number, since it is smaller than the sum of its proper divisors (199019492592).

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

113311469328 is a wasteful number, since it uses less digits than its factorization.

113311469328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345 (or 13339 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 113311469328 in words is "one hundred thirteen billion, three hundred eleven million, four hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 157 186 222 248 296 314 372 444 471 496 592 628 744 888 942 1147 1256 1488 1776 1884 2294 2512 3441 3768 4588 4867 5809 6882 7536 9176 9734 11618 13109 13764 14601 17427 18352 19468 23236 26218 27528 29202 34854 38936 39327 46472 52436 55056 58404 69708 77872 78654 92944 104872 116808 139416 157308 180079 209744 233616 278832 314616 360158 406379 485033 540237 629232 720316 812758 970066 1080474 1219137 1440632 1455099 1625516 1940132 2058113 2160948 2438274 2881264 2910198 3251032 3880264 4116226 4321896 4876548 5820396 6174339 6502064 7760528 8232452 8643792 9753096 11640792 12348678 15036023 16464904 19506192 23281584 24697356 30072046 32929808 45108069 49394712 60144092 63801503 76150181 90216138 98789424 120288184 127603006 152300362 180432276 191404509 228450543 240576368 255206012 304600724 360864552 382809018 456901086 510412024 609201448 721729104 765618036 913802172 1020824048 1218402896 1531236072 1827604344 2360655611 3062472144 3655208688 4721311222 7081966833 9442622444 14163933666 18885244888 28327867332 37770489776 56655734664 113311469328