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130004028000 = 253753711193
BaseRepresentation
bin111100100010011011…
…0000000101001100000
3110102120012111220000000
41321010312000221200
54112222012344000
6135420101300000
712251423001540
oct1710466005140
9412505456000
10130004028000
1150152980460
1221242104600
13c34a985072
146413c37320
1535ad3ac000
hex1e44d80a60

130004028000 has 1536 divisors, whose sum is σ = 600360284160. Its totient is φ = 26873856000.

The previous prime is 130004027999. The next prime is 130004028029. The reversal of 130004028000 is 820400031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 673595904 + ... + 673596096.

It is an arithmetic number, because the mean of its divisors is an integer number (390859560).

Almost surely, 2130004028000 is an apocalyptic number.

130004028000 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 130004028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300180142080).

130004028000 is an abundant number, since it is smaller than the sum of its proper divisors (470356256160).

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

130004028000 is an equidigital number, since it uses as much as digits as its factorization.

130004028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130004028000 its reverse (820400031), we get a palindrome (130824428031).

The spelling of 130004028000 in words is "one hundred thirty billion, four million, twenty-eight thousand".