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2311313130000 = 2434547407639
BaseRepresentation
bin100001101000100100111…
…111111000001000010000
322011221220101102102120000
4201220210333320020100
5300332032130130000
64525445205450000
7325662331306620
oct41504477701020
98157811372500
102311313130000
1181124a0080a6
12313b46110900
13139c57134834
147dc222d2880
15401c8980000
hex21a24ff8210

2311313130000 has 500 divisors, whose sum is σ = 9553552134720. Its totient is φ = 528298848000.

The previous prime is 2311313129999. The next prime is 2311313130013. The reversal of 2311313130000 is 313131132.

It is a happy number.

2311313130000 is a `hidden beast` number, since 231 + 1 + 3 + 131 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (500).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5466181 + ... + 5873819.

Almost surely, 22311313130000 is an apocalyptic number.

2311313130000 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 2311313130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776776067360).

2311313130000 is an abundant number, since it is smaller than the sum of its proper divisors (7242239004720).

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

2311313130000 is an equidigital number, since it uses as much as digits as its factorization.

2311313130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407686 (or 407656 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 2311313130000 its reverse (313131132), we get a palindrome (2311626261132).

The spelling of 2311313130000 in words is "two trillion, three hundred eleven billion, three hundred thirteen million, one hundred thirty thousand".