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130001310 = 23251444459
BaseRepresentation
bin1111011111110…
…10100110011110
3100001121202021100
413233322212132
5231240020220
620522213530
73135664365
oct757724636
9301552240
10130001310
11674229aa
12376542a6
1320c1926a
14133a07dc
15b62dd90
hex7bfa99e

130001310 has 24 divisors (see below), whose sum is σ = 338003640. Its totient is φ = 34666992.

The previous prime is 130001297. The next prime is 130001351. The reversal of 130001310 is 13100031.

It is a super-2 number, since 2×1300013102 = 33800681203432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130001292 and 130001301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722140 + ... + 722319.

It is an arithmetic number, because the mean of its divisors is an integer number (14083485).

Almost surely, 2130001310 is an apocalyptic number.

130001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130001310 is an abundant number, since it is smaller than the sum of its proper divisors (208002330).

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

130001310 is a wasteful number, since it uses less digits than its factorization.

130001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444472 (or 1444469 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130001310 is about 11401.8116981469. The cubic root of 130001310 is about 506.5814034926.

Adding to 130001310 its reverse (13100031), we get a palindrome (143101341).

The spelling of 130001310 in words is "one hundred thirty million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1444459 2888918 4333377 7222295 8666754 13000131 14444590 21666885 26000262 43333770 65000655 130001310