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131333763 = 3113311061
BaseRepresentation
bin1111101001111…
…11111010000011
3100011010110001110
413310333322003
5232110140023
621010534403
73153214161
oct764777203
9304113043
10131333763
1168153000
1237b97403
13212948b2
141362a231
15b7e3a93
hex7d3fe83

131333763 has 32 divisors (see below), whose sum is σ = 199010304. Its totient is φ = 76956000.

The previous prime is 131333743. The next prime is 131333771. The reversal of 131333763 is 367333131.

It is not a de Polignac number, because 131333763 - 25 = 131333731 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131333763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123253 + ... + 124313.

It is an arithmetic number, because the mean of its divisors is an integer number (6219072).

Almost surely, 2131333763 is an apocalyptic number.

131333763 is a deficient number, since it is larger than the sum of its proper divisors (67676541).

131333763 is a wasteful number, since it uses less digits than its factorization.

131333763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1106 counting only the distinct ones).

The product of its digits is 10206, while the sum is 30.

The square root of 131333763 is about 11460.0943713392. The cubic root of 131333763 is about 508.3062651417.

Adding to 131333763 its reverse (367333131), we get a palindrome (498666894).

The spelling of 131333763 in words is "one hundred thirty-one million, three hundred thirty-three thousand, seven hundred sixty-three".

Divisors: 1 3 11 31 33 93 121 341 363 1023 1061 1331 3183 3751 3993 11253 11671 32891 35013 41261 98673 123783 128381 361801 385143 1085403 1412191 3979811 4236573 11939433 43777921 131333763