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2300331132100 = 225223003311321
BaseRepresentation
bin100001011110010110011…
…010111000010011000100
322010220120000212010120001
4201132112122320103010
5300142034232211400
64520431343251044
7325123231002211
oct41362632702304
98126500763501
102300331132100
11807623a55581
123119a02a9a84
13138bc6b71121
147d49d98ab08
153ec84799a6a
hex217966b84c4

2300331132100 has 18 divisors (see below), whose sum is σ = 4991718556874. Its totient is φ = 920132452800.

The previous prime is 2300331132089. The next prime is 2300331132131. The reversal of 2300331132100 is 12311330032.

It can be written as a sum of positive squares in 3 ways, for example, as 173493908676 + 2126837223424 = 416526^2 + 1458368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11501655561 + ... + 11501655760.

Almost surely, 22300331132100 is an apocalyptic number.

2300331132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300331132100 is an abundant number, since it is smaller than the sum of its proper divisors (2691387424774).

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

2300331132100 is a wasteful number, since it uses less digits than its factorization.

2300331132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23003311335 (or 23003311328 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2300331132100 its reverse (12311330032), we get a palindrome (2312642462132).

The spelling of 2300331132100 in words is "two trillion, three hundred billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23003311321 46006622642 92013245284 115016556605 230033113210 460066226420 575082783025 1150165566050 2300331132100