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113322113300 = 2252111311575009
BaseRepresentation
bin110100110001010000…
…1100011100100010100
3101211111121112211002102
41221202201203210110
53324040430111200
6124020502101232
711121141032654
oct1514241434424
9354447484072
10113322113300
1144072418aa0
1219b6741a818
13a8bc852516
1456b04b8364
152e33ab76d5
hex1a62863914

113322113300 has 144 divisors (see below), whose sum is σ = 272088210240. Its totient is φ = 40624896000.

The previous prime is 113322113287. The next prime is 113322113323. The reversal of 113322113300 is 3311223311.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22621196 + ... + 22626204.

It is an arithmetic number, because the mean of its divisors is an integer number (1889501460).

Almost surely, 2113322113300 is an apocalyptic number.

113322113300 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 113322113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136044105120).

113322113300 is an abundant number, since it is smaller than the sum of its proper divisors (158766096940).

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

113322113300 is a wasteful number, since it uses less digits than its factorization.

113322113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113322113300 its reverse (3311223311), we get a palindrome (116633336611).

It can be divided in two parts, 113322 and 113300, that added together give a palindrome (226622).

The spelling of 113322113300 in words is "one hundred thirteen billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 157 220 262 275 314 524 550 628 655 785 1100 1310 1441 1570 1727 2620 2882 3140 3275 3454 3925 5009 5764 6550 6908 7205 7850 8635 10018 13100 14410 15700 17270 20036 20567 25045 28820 34540 36025 41134 43175 50090 55099 72050 82268 86350 100180 102835 110198 125225 144100 172700 205670 220396 226237 250450 275495 411340 452474 500900 514175 550990 656179 786413 904948 1028350 1101980 1131185 1312358 1377475 1572826 2056700 2262370 2624716 2754950 3145652 3280895 3932065 4524740 5509900 5655925 6561790 7217969 7864130 8650543 11311850 13123580 14435938 15728260 16404475 17301086 19660325 22623700 28871876 32808950 34602172 36089845 39320650 43252715 65617900 72179690 78641300 86505430 103020103 144359380 173010860 180449225 206040206 216263575 360898450 412080412 432527150 515100515 721796900 865054300 1030201030 1133221133 2060402060 2266442266 2575502575 4532884532 5151005150 5666105665 10302010300 11332211330 22664422660 28330528325 56661056650 113322113300