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130131300 = 223521361547
BaseRepresentation
bin1111100000110…
…10010101100100
3100001212100120210
413300122111210
5231303200200
620525055420
73140045355
oct760322544
9301770523
10130131300
1167501632
12376b7570
1320c63490
14133d5d2c
15b657650
hex7c1a564

130131300 has 144 divisors (see below), whose sum is σ = 412876352. Its totient is φ = 31449600.

The previous prime is 130131299. The next prime is 130131343. The reversal of 130131300 is 3131031.

130131300 = T2035 + T2036 + ... + T2095.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237627 + ... + 238173.

Almost surely, 2130131300 is an apocalyptic number.

130131300 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 130131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438176).

130131300 is an abundant number, since it is smaller than the sum of its proper divisors (282745052).

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

130131300 is a wasteful number, since it uses less digits than its factorization.

130131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 130131300 is about 11407.5106837557. The cubic root of 130131300 is about 506.7501930239.

Adding to 130131300 its reverse (3131031), we get a palindrome (133262331).

The spelling of 130131300 in words is "one hundred thirty million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 61 65 75 78 100 122 130 150 156 183 195 244 260 300 305 325 366 390 547 610 650 732 780 793 915 975 1094 1220 1300 1525 1586 1641 1830 1950 2188 2379 2735 3050 3172 3282 3660 3900 3965 4575 4758 5470 6100 6564 7111 7930 8205 9150 9516 10940 11895 13675 14222 15860 16410 18300 19825 21333 23790 27350 28444 32820 33367 35555 39650 41025 42666 47580 54700 59475 66734 71110 79300 82050 85332 100101 106665 118950 133468 142220 164100 166835 177775 200202 213330 237900 333670 355550 400404 426660 433771 500505 533325 667340 711100 834175 867542 1001010 1066650 1301313 1668350 1735084 2002020 2133300 2168855 2502525 2602626 3336700 4337710 5005050 5205252 6506565 8675420 10010100 10844275 13013130 21688550 26026260 32532825 43377100 65065650 130131300