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130311727 = 72131571303
BaseRepresentation
bin1111100010001…
…10011000101111
3100002012112002021
413301012120233
5231324433402
620533011011
73141426400
oct761063057
9302175067
10130311727
1167615147
1237783a67
1320cc7640
14134419a7
15b690d37
hex7c4662f

130311727 has 24 divisors (see below), whose sum is σ = 164413536. Its totient is φ = 102368448.

The previous prime is 130311719. The next prime is 130311733. The reversal of 130311727 is 727113031.

It is not a de Polignac number, because 130311727 - 23 = 130311719 is a prime.

It is a super-2 number, since 2×1303117272 = 33962292387445058, which contains 22 as substring.

130311727 is a modest number, since divided by 11727 gives 1303 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99358 + ... + 100660.

It is an arithmetic number, because the mean of its divisors is an integer number (6850564).

Almost surely, 2130311727 is an apocalyptic number.

130311727 is a deficient number, since it is larger than the sum of its proper divisors (34101809).

130311727 is a wasteful number, since it uses less digits than its factorization.

130311727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 130311727 is about 11415.4161991580. The cubic root of 130311727 is about 506.9842878524.

Adding to 130311727 its reverse (727113031), we get a palindrome (857424758).

It can be divided in two parts, 1303 and 11727, that multiplied together give a square (15280281 = 39092).

The spelling of 130311727 in words is "one hundred thirty million, three hundred eleven thousand, seven hundred twenty-seven".

Divisors: 1 7 13 49 91 157 637 1099 1303 2041 7693 9121 14287 16939 63847 100009 118573 204571 830011 1431997 2659423 10023979 18615961 130311727