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130306454200 = 235213416411907
BaseRepresentation
bin111100101011011011…
…1101011001010111000
3110110100021120201202101
41321112313223022320
54113331423013300
6135510103313144
712262054404556
oct1712667531270
9413307521671
10130306454200
115029866176a
122130744b7b4
13c398522290
14644207cbd6
1535c9be9b6a
hex1e56deb2b8

130306454200 has 192 divisors, whose sum is σ = 334922001120. Its totient is φ = 46841856000.

The previous prime is 130306454177. The next prime is 130306454269. The reversal of 130306454200 is 2454603031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68329647 + ... + 68331553.

Almost surely, 2130306454200 is an apocalyptic number.

130306454200 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 130306454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167461000560).

130306454200 is an abundant number, since it is smaller than the sum of its proper divisors (204615546920).

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

130306454200 is a wasteful number, since it uses less digits than its factorization.

130306454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 130306454200 in words is "one hundred thirty billion, three hundred six million, four hundred fifty-four thousand, two hundred".