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113220221103300 = 223525091879394601
BaseRepresentation
bin11001101111100100100011…
…000011110110110011000100
3112211212202011212200020000110
4121233210203003312303010
5104320000003100301200
61040444352421513020
732563614424334613
oct3157444303666304
9484782155606013
10113220221103300
1133091476193293
1210846a06b72770
134b2380c560abc
141dd5c6071787a
15d151b776db50
hex66f9230f6cc4

113220221103300 has 144 divisors (see below), whose sum is σ = 328402937116800. Its totient is φ = 30116629632000.

The previous prime is 113220221103287. The next prime is 113220221103313. The reversal of 113220221103300 is 3301122022311.

113220221103300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113220221103287) and next prime (113220221103313).

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, 286726000 + ... + 287120600.

It is an arithmetic number, because the mean of its divisors is an integer number (2280575952200).

Almost surely, 2113220221103300 is an apocalyptic number.

113220221103300 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 113220221103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164201468558400).

113220221103300 is an abundant number, since it is smaller than the sum of its proper divisors (215182716013500).

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

113220221103300 is a wasteful number, since it uses less digits than its factorization.

113220221103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397006 (or 396999 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113220221103300 its reverse (3301122022311), we get a palindrome (116521343125611).

The spelling of 113220221103300 in words is "one hundred thirteen trillion, two hundred twenty billion, two hundred twenty-one million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 509 1018 1527 1879 2036 2545 3054 3758 5090 5637 6108 7516 7635 9395 10180 11274 12725 15270 18790 22548 25450 28185 30540 37580 38175 46975 50900 56370 76350 93950 112740 140925 152700 187900 281850 394601 563700 789202 956411 1183803 1578404 1912822 1973005 2367606 2869233 3825644 3946010 4735212 4782055 5738466 5919015 7892020 9564110 9865025 11476932 11838030 14346165 19128220 19730050 23676060 23910275 28692330 29595075 39460100 47820550 57384660 59190150 71730825 95641100 118380300 143461650 200851909 286923300 401703818 602555727 741455279 803407636 1004259545 1205111454 1482910558 2008519090 2224365837 2410222908 2965821116 3012778635 3707276395 4017038180 4448731674 5021297725 6025557270 7414552790 8897463348 10042595450 11121829185 12051114540 14829105580 15063893175 18536381975 20085190900 22243658370 30127786350 37072763950 44487316740 55609145925 60255572700 74145527900 111218291850 222436583700 377400737011 754801474022 1132202211033 1509602948044 1887003685055 2264404422066 3774007370110 4528808844132 5661011055165 7548014740220 9435018425275 11322022110330 18870036850550 22644044220660 28305055275825 37740073701100 56610110551650 113220221103300