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130132031232 = 283753597741
BaseRepresentation
bin111100100110001111…
…0010011011100000000
3110102220010101010102110
41321030132103130000
54113002244444412
6135440513015320
712254536005030
oct1711436233400
9412803333373
10130132031232
1150209159155
1221278b54540
13c36b351a18
146426c378c0
1535b9743d3c
hex1e4c793700

130132031232 has 288 divisors, whose sum is σ = 410174876160. Its totient is φ = 35856138240.

The previous prime is 130132031219. The next prime is 130132031243. The reversal of 130132031232 is 232130231031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130132031199 and 130132031208.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16806882 + ... + 16814622.

It is an arithmetic number, because the mean of its divisors is an integer number (1424218320).

Almost surely, 2130132031232 is an apocalyptic number.

130132031232 is a gapful number since it is divisible by the number (12) 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 130132031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205087438080).

130132031232 is an abundant number, since it is smaller than the sum of its proper divisors (280042844928).

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

130132031232 is an equidigital number, since it uses as much as digits as its factorization.

130132031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130132031232 its reverse (232130231031), we get a palindrome (362262262263).

The spelling of 130132031232 in words is "one hundred thirty billion, one hundred thirty-two million, thirty-one thousand, two hundred thirty-two".