Search a number
-
+
130114332 = 22324398233
BaseRepresentation
bin1111100000101…
…10001100011100
3100001211111022100
413300112030130
5231302124312
620524445100
73136645035
oct760261434
9301744270
10130114332
116749a907
12376a9790
1320c5883a
14133cda8c
15b6525dc
hex7c1631c

130114332 has 36 divisors (see below), whose sum is σ = 329689360. Its totient is φ = 43267392.

The previous prime is 130114321. The next prime is 130114339. The reversal of 130114332 is 233411031.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130114339) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11688 + ... + 19920.

Almost surely, 2130114332 is an apocalyptic number.

130114332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130114332 is an abundant number, since it is smaller than the sum of its proper divisors (199575028).

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

130114332 is a wasteful number, since it uses less digits than its factorization.

130114332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130114332 is about 11406.7669389709. The cubic root of 130114332 is about 506.7281667806.

Adding to 130114332 its reverse (233411031), we get a palindrome (363525363).

The spelling of 130114332 in words is "one hundred thirty million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 439 878 1317 1756 2634 3951 5268 7902 8233 15804 16466 24699 32932 49398 74097 98796 148194 296388 3614287 7228574 10842861 14457148 21685722 32528583 43371444 65057166 130114332