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2130385121280 = 21235513217149
BaseRepresentation
bin11111000000000100110…
…110010011000000000000
321112122220012110021200000
4133000010312103000000
5234401012042340110
64310404014400000
7306625633515003
oct37000466230000
97478805407600
102130385121280
11751544953269
122a4a71800000
13125b8216b100
147517b16953a
153a639a661c0
hex1f004d93000

2130385121280 has 1872 divisors, whose sum is σ = 8839026050400. Its totient is φ = 490242834432.

The previous prime is 2130385121269. The next prime is 2130385121317. The reversal of 2130385121280 is 821215830312.

2130385121280 is a `hidden beast` number, since 2 + 1 + 30 + 38 + 512 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14297886646 + ... + 14297886794.

It is an arithmetic number, because the mean of its divisors is an integer number (4721701950).

Almost surely, 22130385121280 is an apocalyptic number.

2130385121280 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 2130385121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419513025200).

2130385121280 is an abundant number, since it is smaller than the sum of its proper divisors (6708640929120).

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

2130385121280 is a wasteful number, since it uses less digits than its factorization.

2130385121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2130385121280 in words is "two trillion, one hundred thirty billion, three hundred eighty-five million, one hundred twenty-one thousand, two hundred eighty".