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130000000000 = 21051013
BaseRepresentation
bin111100100010010011…
…0101001010000000000
3110102112220221020121211
41321010212221100000
54112220000000000
6135415435055504
712251343524233
oct1710446512000
9412486836554
10130000000000
115015067a132
12212408a1594
13c349ba4830
1464134a941a
1535acd637ba
hex1e449a9400

130000000000 has 242 divisors, whose sum is σ = 349829094398. Its totient is φ = 48000000000.

The previous prime is 129999999949. The next prime is 130000000003. The reversal of 130000000000 is 31.

It is a happy number.

It can be written as a sum of positive squares in 11 ways, for example, as 31212995584 + 98787004416 = 176672^2 + 314304^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000000003) by changing a digit.

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 21 ways as a sum of consecutive naturals, for example, 9999999994 + ... + 10000000006.

Almost surely, 2130000000000 is an apocalyptic number.

130000000000 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 130000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174914547199).

130000000000 is an abundant number, since it is smaller than the sum of its proper divisors (219829094398).

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

130000000000 is an frugal number, since it uses more digits than its factorization.

130000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

Adding to 130000000000 its reverse (31), we get a palindrome (130000000031).

The spelling of 130000000000 in words is "one hundred thirty billion", and thus it is an aban number.