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130331004200 = 23522397292091
BaseRepresentation
bin111100101100001010…
…1010100110100101000
3110110101222210000000122
41321120111110310220
54113404214113300
6135512341422412
712262503154115
oct1713025246450
9413358700018
10130331004200
11503004aa521
122131370aa08
13c3a06396c7
14644542d90c
1535cbe48c85
hex1e58554d28

130331004200 has 96 divisors (see below), whose sum is σ = 319455178560. Its totient is φ = 49351526400.

The previous prime is 130331004197. The next prime is 130331004239. The reversal of 130331004200 is 2400133031.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 300155 + ... + 592245.

It is an arithmetic number, because the mean of its divisors is an integer number (3327658110).

Almost surely, 2130331004200 is an apocalyptic number.

130331004200 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 130331004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159727589280).

130331004200 is an abundant number, since it is smaller than the sum of its proper divisors (189124174360).

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

130331004200 is a wasteful number, since it uses less digits than its factorization.

130331004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292227 (or 292218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 130331004200 its reverse (2400133031), we get a palindrome (132731137231).

The spelling of 130331004200 in words is "one hundred thirty billion, three hundred thirty-one million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 97 100 115 184 194 200 230 388 460 485 575 776 920 970 1150 1940 2231 2300 2425 3880 4462 4600 4850 8924 9700 11155 17848 19400 22310 44620 55775 89240 111550 223100 292091 446200 584182 1168364 1460455 2336728 2920910 5841820 6718093 7302275 11683640 13436186 14604550 26872372 28332827 29209100 33590465 53744744 56665654 58418200 67180930 113331308 134361860 141664135 167952325 226662616 268723720 283328270 335904650 566656540 651655021 671809300 708320675 1133313080 1303310042 1343618600 1416641350 2606620084 2833282700 3258275105 5213240168 5666565400 6516550210 13033100420 16291375525 26066200840 32582751050 65165502100 130331004200