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11213001321300 = 22325212458890357
BaseRepresentation
bin1010001100101011101011…
…1101011110101101010100
31110200221201100012220202100
42203022322331132231110
52432203211314240200
635503103125042100
72235053424430212
oct243127275365524
943627640186670
1011213001321300
113633452a18249
1213111a3556330
136344c618844c
142aa9d8247cb2
15146a21241d00
hexa32baf5eb54

11213001321300 has 54 divisors (see below), whose sum is σ = 35146529699918. Its totient is φ = 2990133685440.

The previous prime is 11213001321293. The next prime is 11213001321307. The reversal of 11213001321300 is 312310031211.

11213001321300 is a `hidden beast` number, since 1 + 12 + 1 + 30 + 0 + 1 + 321 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (11213001321293) and next prime (11213001321307).

It can be written as a sum of positive squares in 3 ways, for example, as 152015771664 + 11060985549636 = 389892^2 + 3325806^2 .

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 (11213001321307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6229444279 + ... + 6229446078.

Almost surely, 211213001321300 is an apocalyptic number.

11213001321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213001321300 is an abundant number, since it is smaller than the sum of its proper divisors (23933528378618).

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

11213001321300 is a wasteful number, since it uses less digits than its factorization.

11213001321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458890377 (or 12458890367 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11213001321300 its reverse (312310031211), we get a palindrome (11525311352511).

The spelling of 11213001321300 in words is "eleven trillion, two hundred thirteen billion, one million, three 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 90 100 150 180 225 300 450 900 12458890357 24917780714 37376671071 49835561428 62294451785 74753342142 112130013213 124588903570 149506684284 186883355355 224260026426 249177807140 311472258925 373766710710 448520052852 560650066065 622944517850 747533421420 934416776775 1121300132130 1245889035700 1868833553550 2242600264260 2803250330325 3737667107100 5606500660650 11213001321300