Search a number
-
+
131111032 = 23131677549
BaseRepresentation
bin1111101000010…
…01100001111000
3100010201010112011
413310021201320
5232031023112
621002055304
73151265623
oct764114170
9303633464
10131111032
1168010728
1237aaa534
13212173c0
14135acdba
15b79caa7
hex7d09878

131111032 has 32 divisors (see below), whose sum is σ = 266364000. Its totient is φ = 60142464.

The previous prime is 131111011. The next prime is 131111081. The reversal of 131111032 is 230111131.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13594 + ... + 21142.

It is an arithmetic number, because the mean of its divisors is an integer number (8323875).

Almost surely, 2131111032 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 131111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133182000).

131111032 is an abundant number, since it is smaller than the sum of its proper divisors (135252968).

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

131111032 is a wasteful number, since it uses less digits than its factorization.

131111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 131111032 is about 11450.3725703577. The cubic root of 131111032 is about 508.0187543451.

Adding to 131111032 its reverse (230111131), we get a palindrome (361222163).

Subtracting 131111032 from its reverse (230111131), we obtain a palindrome (99000099).

The spelling of 131111032 in words is "one hundred thirty-one million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 167 334 668 1336 2171 4342 7549 8684 15098 17368 30196 60392 98137 196274 392548 785096 1260683 2521366 5042732 10085464 16388879 32777758 65555516 131111032