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2300311130220 = 2232512779506279
BaseRepresentation
bin100001011110010101001…
…110100101000001101100
322010220111122012221010200
4201132111032211001230
5300142014122131340
64520425350433500
7325122565664535
oct41362516450154
98126448187120
102300311130220
118076137338a4
12311995662890
13138bc2989bac
147d49b06168c
153ec82b48330
hex217953a506c

2300311130220 has 36 divisors (see below), whose sum is σ = 6977610428880. Its totient is φ = 613416301344.

The previous prime is 2300311130129. The next prime is 2300311130297. The reversal of 2300311130220 is 220311130032.

2300311130220 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 311 + 130 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2300311130193 and 2300311130202.

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 11 ways as a sum of consecutive naturals, for example, 6389752960 + ... + 6389753319.

Almost surely, 22300311130220 is an apocalyptic number.

2300311130220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300311130220 is an abundant number, since it is smaller than the sum of its proper divisors (4677299298660).

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

2300311130220 is a wasteful number, since it uses less digits than its factorization.

2300311130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12779506294 (or 12779506289 counting only the distinct ones).

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

Adding to 2300311130220 its reverse (220311130032), we get a palindrome (2520622260252).

The spelling of 2300311130220 in words is "two trillion, three hundred billion, three hundred eleven million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12779506279 25559012558 38338518837 51118025116 63897531395 76677037674 115015556511 127795062790 153354075348 191692594185 230031113022 255590125580 383385188370 460062226044 575077782555 766770376740 1150155565110 2300311130220