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130304637200 = 24521943398729
BaseRepresentation
bin111100101011011000…
…0101111100100010000
3110110100011011102022002
41321112300233210100
54113330441342300
6135510000333132
712262033066313
oct1712660574420
9413304142262
10130304637200
1150297630611
12213069141a8
13c39803722a
146441b2897a
1535c998b5d5
hex1e56c2f910

130304637200 has 120 divisors (see below), whose sum is σ = 337197986400. Its totient is φ = 48230138880.

The previous prime is 130304637163. The next prime is 130304637217. The reversal of 130304637200 is 2736403031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127436 + ... + 526164.

It is an arithmetic number, because the mean of its divisors is an integer number (2809983220).

Almost surely, 2130304637200 is an apocalyptic number.

130304637200 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 130304637200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168598993200).

130304637200 is an abundant number, since it is smaller than the sum of its proper divisors (206893349200).

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

130304637200 is a wasteful number, since it uses less digits than its factorization.

130304637200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398809 (or 398798 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The spelling of 130304637200 in words is "one hundred thirty billion, three hundred four million, six hundred thirty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 43 50 76 80 86 95 100 152 172 190 200 215 304 344 380 400 430 475 688 760 817 860 950 1075 1520 1634 1720 1900 2150 3268 3440 3800 4085 4300 6536 7600 8170 8600 13072 16340 17200 20425 32680 40850 65360 81700 163400 326800 398729 797458 1594916 1993645 3189832 3987290 6379664 7575851 7974580 9968225 15151702 15949160 17145347 19936450 30303404 31898320 34290694 37879255 39872900 60606808 68581388 75758510 79745800 85726735 121213616 137162776 151517020 159491600 171453470 189396275 274325552 303034040 325761593 342906940 378792550 428633675 606068080 651523186 685813880 757585100 857267350 1303046372 1371627760 1515170200 1628807965 1714534700 2606092744 3030340400 3257615930 3429069400 5212185488 6515231860 6858138800 8144039825 13030463720 16288079650 26060927440 32576159300 65152318600 130304637200