Search a number
-
+
130130312 = 231331181223
BaseRepresentation
bin1111100000110…
…10000110001000
3100001212022020012
413300122012020
5231303132222
620525051052
73140042444
oct760320610
9301768205
10130130312
1167500914
12376b6a88
1320c62bb0
14133d5824
15b6571e2
hex7c1a188

130130312 has 64 divisors (see below), whose sum is σ = 273960960. Its totient is φ = 57542400.

The previous prime is 130130309. The next prime is 130130321. The reversal of 130130312 is 213031031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583433 + ... + 583655.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2130130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136980480).

130130312 is an abundant number, since it is smaller than the sum of its proper divisors (143830648).

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

130130312 is a wasteful number, since it uses less digits than its factorization.

130130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 130130312 is about 11407.4673788707. The cubic root of 130130312 is about 506.7489105488.

Adding to 130130312 its reverse (213031031), we get a palindrome (343161343).

It can be divided in two parts, 1301 and 30312, that added together give a palindrome (31613).

The spelling of 130130312 in words is "one hundred thirty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 181 223 248 362 403 446 724 806 892 1448 1612 1784 2353 2899 3224 4706 5611 5798 6913 9412 11222 11596 13826 18824 22444 23192 27652 40363 44888 55304 72943 80726 89869 145886 161452 179738 291772 322904 359476 524719 583544 718952 1049438 1251253 2098876 2502506 4197752 5005012 10010024 16266289 32532578 65065156 130130312