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1300022321130 = 23251326110113873
BaseRepresentation
bin10010111010101111010…
…111100101111111101010
311121021120210100111001200
4102322233113211333222
5132244421203234010
62433115542025030
7162631523255511
oct22725727457752
94537523314050
101300022321130
11461377788405
1218bb52a18176
139578c911200
1446cc8519678
1523c3ad83cc0
hex12eaf5e5fea

1300022321130 has 288 divisors, whose sum is σ = 3757166994672. Its totient is φ = 311620608000.

The previous prime is 1300022321123. The next prime is 1300022321141. The reversal of 1300022321130 is 311232200031.

1300022321130 is a `hidden beast` number, since 1 + 300 + 0 + 2 + 232 + 1 + 130 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 286140476241 + 1013881844889 = 534921^2 + 1006917^2 .

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, 93701874 + ... + 93715746.

Almost surely, 21300022321130 is an apocalyptic number.

1300022321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300022321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878583497336).

1300022321130 is an abundant number, since it is smaller than the sum of its proper divisors (2457144673542).

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

1300022321130 is a wasteful number, since it uses less digits than its factorization.

1300022321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14074 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1300022321130 its reverse (311232200031), we get a palindrome (1611254521161).

The spelling of 1300022321130 in words is "one trillion, three hundred billion, twenty-two million, three hundred twenty-one thousand, one hundred thirty".