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2130307549920 = 25325112105111633
BaseRepresentation
bin11111000000000000001…
…110011000101011100000
321112122200210111020202200
4133000000032120223200
5234400332213044140
64310352204013200
7306624002255304
oct37000016305340
97478623436680
102130307549920
11751505090800
122a4a4b831200
13125b6c07b2b4
1475170b35d04
153a632d42030
hex1f000398ae0

2130307549920 has 432 divisors, whose sum is σ = 7998924404016. Its totient is φ = 515902464000.

The previous prime is 2130307549883. The next prime is 2130307549949. The reversal of 2130307549920 is 299457030312.

2130307549920 is a `hidden beast` number, since 2 + 13 + 0 + 3 + 0 + 7 + 549 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183120424 + ... + 183132056.

It is an arithmetic number, because the mean of its divisors is an integer number (18516028713).

Almost surely, 22130307549920 is an apocalyptic number.

2130307549920 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 2130307549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999462202008).

2130307549920 is an abundant number, since it is smaller than the sum of its proper divisors (5868616854096).

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

2130307549920 is a wasteful number, since it uses less digits than its factorization.

2130307549920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12727 (or 12705 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2130307549920 in words is "two trillion, one hundred thirty billion, three hundred seven million, five hundred forty-nine thousand, nine hundred twenty".