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2131300030320 = 2433517917213203
BaseRepresentation
bin11111000000111011011…
…000011001011101110000
321112202020222000110221000
4133000323120121131300
5234404400301432240
64311034500202000
7306660413230206
oct37007330313560
97482228013830
102131300030320
11751974338a3a
122a5088099300
13125c998848c6
1475226887076
153a69003a430
hex1f03b619770

2131300030320 has 320 divisors, whose sum is σ = 7388752089600. Its totient is φ = 564666808320.

The previous prime is 2131300030313. The next prime is 2131300030369. The reversal of 2131300030320 is 230300031312.

2131300030320 is a `hidden beast` number, since 2 + 1 + 313 + 0 + 0 + 0 + 30 + 320 = 666.

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 = 2131300030293 and 2131300030302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665405839 + ... + 665409041.

It is an arithmetic number, because the mean of its divisors is an integer number (23089850280).

Almost surely, 22131300030320 is an apocalyptic number.

2131300030320 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 2131300030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694376044800).

2131300030320 is an abundant number, since it is smaller than the sum of its proper divisors (5257452059280).

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

2131300030320 is a wasteful number, since it uses less digits than its factorization.

2131300030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2131300030320 its reverse (230300031312), we get a palindrome (2361600061632).

The spelling of 2131300030320 in words is "two trillion, one hundred thirty-one billion, three hundred million, thirty thousand, three hundred twenty".