Search a number
-
+
131031541 = 2937122117
BaseRepresentation
bin1111100111101…
…10000111110101
3100010120002111001
413303312013311
5232021002131
621000243301
73150515104
oct763660765
9303502431
10131031541
1167a66a33
1237a70531
13211ba174
141358c03b
15b784261
hex7cf61f5

131031541 has 8 divisors (see below), whose sum is σ = 139214520. Its totient is φ = 123092928.

The previous prime is 131031517. The next prime is 131031557. The reversal of 131031541 is 145130131.

It can be written as a sum of positive squares in 4 ways, for example, as 78411025 + 52620516 = 8855^2 + 7254^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131031541 - 213 = 131023349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131038541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59986 + ... + 62131.

It is an arithmetic number, because the mean of its divisors is an integer number (17401815).

Almost surely, 2131031541 is an apocalyptic number.

It is an amenable number.

131031541 is a deficient number, since it is larger than the sum of its proper divisors (8182979).

131031541 is a wasteful number, since it uses less digits than its factorization.

131031541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122183.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 131031541 is about 11446.9009343141. The cubic root of 131031541 is about 507.9160650897.

Adding to 131031541 its reverse (145130131), we get a palindrome (276161672).

The spelling of 131031541 in words is "one hundred thirty-one million, thirty-one thousand, five hundred forty-one".

Divisors: 1 29 37 1073 122117 3541393 4518329 131031541