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130302374400 = 29325211312107
BaseRepresentation
bin111100101011010100…
…0000111001000000000
3110110022222220110022200
41321112220013020000
54113324401440100
6135505440033200
712262004623242
oct1712650071000
9413288813280
10130302374400
1150296325530
1221306002800
13c3977242b3
1464416da092
1535c9690e00
hex1e56a07200

130302374400 has 1080 divisors, whose sum is σ = 530560519632. Its totient is φ = 30283776000.

The previous prime is 130302374383. The next prime is 130302374407. The reversal of 130302374400 is 4473203031.

It is not an unprimeable number, because it can be changed into a prime (130302374407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1217779147 + ... + 1217779253.

Almost surely, 2130302374400 is an apocalyptic number.

130302374400 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 130302374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265280259816).

130302374400 is an abundant number, since it is smaller than the sum of its proper divisors (400258145232).

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

130302374400 is a wasteful number, since it uses less digits than its factorization.

130302374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 130302374400 its reverse (4473203031), we get a palindrome (134775577431).

The spelling of 130302374400 in words is "one hundred thirty billion, three hundred two million, three hundred seventy-four thousand, four hundred".