Search a number
-
+
131131333 = 312136453
BaseRepresentation
bin1111101000011…
…10011111000101
3100010202011101001
413310032133011
5232032200313
621002333301
73151412044
oct764163705
9303664331
10131131333
1168024a03
1237aba231
1321223708
14135b655b
15b7a3add
hex7d0e7c5

131131333 has 6 divisors (see below), whose sum is σ = 135498822. Its totient is φ = 126900360.

The previous prime is 131131321. The next prime is 131131337. The reversal of 131131333 is 333131131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 129436129 + 1695204 = 11377^2 + 1302^2 .

It is not a de Polignac number, because 131131333 - 29 = 131130821 is a prime.

It is a super-5 number, since 5×1311313335 (a number of 42 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131131333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67266 + ... + 69187.

It is an arithmetic number, because the mean of its divisors is an integer number (22583137).

Almost surely, 2131131333 is an apocalyptic number.

It is an amenable number.

131131333 is a deficient number, since it is larger than the sum of its proper divisors (4367489).

131131333 is an equidigital number, since it uses as much as digits as its factorization.

131131333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136515 (or 136484 counting only the distinct ones).

The product of its digits is 243, while the sum is 19.

The square root of 131131333 is about 11451.2590137504. The cubic root of 131131333 is about 508.0449732334.

Adding to 131131333 its reverse (333131131), we get a palindrome (464262464).

The spelling of 131131333 in words is "one hundred thirty-one million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 31 961 136453 4230043 131131333