Search a number
-
+
131114032 = 2471170661
BaseRepresentation
bin1111101000010…
…10010000110000
3100010201021122021
413310022100300
5232031122112
621002121224
73151310440
oct764122060
9303637567
10131114032
1168012a05
1237ab0214
132121888a
14135b0120
15b79d907
hex7d0a430

131114032 has 20 divisors (see below), whose sum is σ = 290324176. Its totient is φ = 56191680.

The previous prime is 131113991. The next prime is 131114057. The reversal of 131114032 is 230411131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131113997 and 131114015.

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 3 ways as a sum of consecutive naturals, for example, 585219 + ... + 585442.

Almost surely, 2131114032 is an apocalyptic number.

It is an amenable number.

131114032 is an abundant number, since it is smaller than the sum of its proper divisors (159210144).

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

131114032 is a wasteful number, since it uses less digits than its factorization.

131114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170676 (or 1170670 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131114032 is about 11450.5035697126. The cubic root of 131114032 is about 508.0226290372.

Adding to 131114032 its reverse (230411131), we get a palindrome (361525163).

The spelling of 131114032 in words is "one hundred thirty-one million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 1170661 2341322 4682644 8194627 9365288 16389254 18730576 32778508 65557016 131114032