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113320000221300 = 223252157801981601
BaseRepresentation
bin11001110001000001011110…
…010110111111000001110100
3112212020021201122200121010100
4121301001132112333001310
5104323113330024040200
61041002253414354100
732604046150004355
oct3161013626770164
9485207648617110
10113320000221300
113311a818973484
121086221295b930
134b30051384522
141ddaa082bbd2c
15d17aa73c6d00
hex67105e5bf074

113320000221300 has 108 divisors (see below), whose sum is σ = 357457635680236. Its totient is φ = 30026191104000.

The previous prime is 113320000221293. The next prime is 113320000221301. The reversal of 113320000221300 is 3122000023311.

113320000221300 is a `hidden beast` number, since 11 + 332 + 0 + 0 + 0 + 0 + 2 + 21 + 300 = 666.

113320000221300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16370730997776 + 96949269223524 = 4046076^2 + 9846282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113320000221301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400849501 + ... + 401132100.

Almost surely, 2113320000221300 is an apocalyptic number.

113320000221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113320000221300 is an abundant number, since it is smaller than the sum of its proper divisors (244137635458936).

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

113320000221300 is a wasteful number, since it uses less digits than its factorization.

113320000221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801981778 (or 801981768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113320000221300 its reverse (3122000023311), we get a palindrome (116442000244611).

The spelling of 113320000221300 in words is "one hundred thirteen trillion, three hundred twenty billion, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 157 180 225 300 314 450 471 628 785 900 942 1413 1570 1884 2355 2826 3140 3925 4710 5652 7065 7850 9420 11775 14130 15700 23550 28260 35325 47100 70650 141300 801981601 1603963202 2405944803 3207926404 4009908005 4811889606 7217834409 8019816010 9623779212 12029724015 14435668818 16039632020 20049540025 24059448030 28871337636 36089172045 40099080050 48118896060 60148620075 72178344090 80198160100 120297240150 125911111357 144356688180 180445860225 240594480300 251822222714 360891720450 377733334071 503644445428 629555556785 721783440900 755466668142 1133200002213 1259111113570 1510933336284 1888666670355 2266400004426 2518222227140 3147777783925 3777333340710 4532800008852 5666000011065 6295555567850 7554666681420 9443333351775 11332000022130 12591111135700 18886666703550 22664000044260 28330000055325 37773333407100 56660000110650 113320000221300