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12020303031300 = 2232521737101210233
BaseRepresentation
bin1010111011101011000111…
…1001000110110000000100
31120120010111120210221211200
42232322301321012300010
53033420040034000200
641322015002302500
72350303212642414
oct256726171066004
946503446727750
1012020303031300
113914866768813
1214217471b7a30
13692681ab6c85
142d7b00226644
1515ca20598800
hexaeeb1e46c04

12020303031300 has 432 divisors, whose sum is σ = 41377315713552. Its totient is φ = 2906247168000.

The previous prime is 12020303031271. The next prime is 12020303031383. The reversal of 12020303031300 is 313030302021.

12020303031300 is a `hidden beast` number, since 1 + 202 + 0 + 30 + 303 + 130 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 14743302084 + 12005559729216 = 121422^2 + 3464904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57070984 + ... + 57281216.

It is an arithmetic number, because the mean of its divisors is an integer number (95780823411).

Almost surely, 212020303031300 is an apocalyptic number.

12020303031300 is a gapful number since it is divisible by the number (10) 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 12020303031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20688657856776).

12020303031300 is an abundant number, since it is smaller than the sum of its proper divisors (29357012682252).

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

12020303031300 is a wasteful number, since it uses less digits than its factorization.

12020303031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210408 (or 210398 counting only the distinct ones).

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

Adding to 12020303031300 its reverse (313030302021), we get a palindrome (12333333333321).

The spelling of 12020303031300 in words is "twelve trillion, twenty billion, three hundred three million, thirty-one thousand, three hundred".