Search a number
-
+
131340132 = 223271147381
BaseRepresentation
bin1111101010000…
…01011101100100
3100011010202210100
413311001131210
5232110341012
621011024100
73153241560
oct765013544
9304122710
10131340132
1168157870
1237b9b030
1321297771
141362c6a0
15b7e58dc
hex7d41764

131340132 has 72 divisors (see below), whose sum is σ = 413929152. Its totient is φ = 34113600.

The previous prime is 131340109. The next prime is 131340151. The reversal of 131340132 is 231043131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20919 + ... + 26462.

It is an arithmetic number, because the mean of its divisors is an integer number (5749016).

Almost surely, 2131340132 is an apocalyptic number.

131340132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131340132 is an abundant number, since it is smaller than the sum of its proper divisors (282589020).

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

131340132 is a wasteful number, since it uses less digits than its factorization.

131340132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47409 (or 47404 counting only the distinct ones).

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

The square root of 131340132 is about 11460.3722452632. The cubic root of 131340132 is about 508.3144817399.

Adding to 131340132 its reverse (231043131), we get a palindrome (362383263).

The spelling of 131340132 in words is "one hundred thirty-one million, three hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 47381 94762 142143 189524 284286 331667 426429 521191 568572 663334 852858 995001 1042382 1326668 1563573 1705716 1990002 2084764 2985003 3127146 3648337 3980004 4690719 5970006 6254292 7296674 9381438 10945011 11940012 14593348 18762876 21890022 32835033 43780044 65670066 131340132