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1300130132130 = 232553734318663
BaseRepresentation
bin10010111010110101110…
…010110111000010100010
311121021212022012211221200
4102322311302313002202
5132300131303212010
62433134352502030
7162634302532344
oct22726562670242
94537768184850
101300130132130
11461422624405
1218bb82b4a916
13957a905b0bb
1446cd8981294
1523c4557ccc0
hex12eb5cb70a2

1300130132130 has 192 divisors, whose sum is σ = 3499802422272. Its totient is φ = 334683048960.

The previous prime is 1300130132113. The next prime is 1300130132137. The reversal of 1300130132130 is 312310310031.

It is a happy number.

1300130132130 is a `hidden beast` number, since 1 + 300 + 1 + 301 + 32 + 1 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1300130132137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150074179 + ... + 150082841.

It is an arithmetic number, because the mean of its divisors is an integer number (18228137616).

Almost surely, 21300130132130 is an apocalyptic number.

1300130132130 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 1300130132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749901211136).

1300130132130 is an abundant number, since it is smaller than the sum of its proper divisors (2199672290142).

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

1300130132130 is a wasteful number, since it uses less digits than its factorization.

1300130132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1300130132130 its reverse (312310310031), we get a palindrome (1612440442161).

The spelling of 1300130132130 in words is "one trillion, three hundred billion, one hundred thirty million, one hundred thirty-two thousand, one hundred thirty".