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130111113000 = 233531115126111
BaseRepresentation
bin111100100101100111…
…0100000011100101000
3110102211200000101000010
41321023032200130220
54112431421104000
6135434444411520
712254163132651
oct1711316403450
9412750011003
10130111113000
11501a8370a60
1221271b46ba0
13c366c0967b
146424150528
1535b79b0d50
hex1e4b3a0728

130111113000 has 256 divisors, whose sum is σ = 445800775680. Its totient is φ = 31332000000.

The previous prime is 130111112983. The next prime is 130111113001. The reversal of 130111113000 is 311111031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130111113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4969945 + ... + 4996055.

It is an arithmetic number, because the mean of its divisors is an integer number (1741409280).

Almost surely, 2130111113000 is an apocalyptic number.

130111113000 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 130111113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222900387840).

130111113000 is an abundant number, since it is smaller than the sum of its proper divisors (315689662680).

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

130111113000 is a wasteful number, since it uses less digits than its factorization.

130111113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26297 (or 26283 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 130111113000 its reverse (311111031), we get a palindrome (130422224031).

The spelling of 130111113000 in words is "one hundred thirty billion, one hundred eleven million, one hundred thirteen thousand".