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2300313121020 = 223651291122209
BaseRepresentation
bin100001011110010101010…
…110001011000011111100
322010220111202222002000000
4201132111112023003330
5300142020124333040
64520425501234300
7325122621625605
oct41362526130374
98126452862000
102300313121020
11807614873592
12311996262990
13138bc3206095
147d49b41cdac
153ec82ddd130
hex2179558b0fc

2300313121020 has 168 divisors, whose sum is σ = 7248342559920. Its totient is φ = 612936668160.

The previous prime is 2300313121013. The next prime is 2300313121033. The reversal of 2300313121020 is 201213130032.

2300313121020 is a `hidden beast` number, since 2 + 300 + 3 + 131 + 210 + 20 = 666.

2300313121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2300313120984 and 2300313121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18761676 + ... + 18883884.

It is an arithmetic number, because the mean of its divisors is an integer number (43144896190).

Almost surely, 22300313121020 is an apocalyptic number.

2300313121020 is a gapful number since it is divisible by the number (20) 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 2300313121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624171279960).

2300313121020 is an abundant number, since it is smaller than the sum of its proper divisors (4948029438900).

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

2300313121020 is a wasteful number, since it uses less digits than its factorization.

2300313121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123527 (or 123510 counting only the distinct ones).

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

Adding to 2300313121020 its reverse (201213130032), we get a palindrome (2501526251052).

The spelling of 2300313121020 in words is "two trillion, three hundred billion, three hundred thirteen million, one hundred twenty-one thousand, twenty".