Search a number
-
+
131883133 = 3753109617
BaseRepresentation
bin1111101110001…
…10000001111101
3100012011100122111
413313012001331
5232230230013
621030414021
73160662634
oct767060175
9305140574
10131883133
1168498828
1238201311
1321427975
141373051b
15b8a173d
hex7dc607d

131883133 has 16 divisors (see below), whose sum is σ = 139494960. Its totient is φ = 124540416.

The previous prime is 131883131. The next prime is 131883149. The reversal of 131883133 is 331388131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2424249 + 129458884 = 1557^2 + 11378^2 .

It is a cyclic number.

It is not a de Polignac number, because 131883133 - 21 = 131883131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131883095 and 131883104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131883131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213441 + ... + 214057.

It is an arithmetic number, because the mean of its divisors is an integer number (8718435).

Almost surely, 2131883133 is an apocalyptic number.

It is an amenable number.

131883133 is a deficient number, since it is larger than the sum of its proper divisors (7611827).

131883133 is a wasteful number, since it uses less digits than its factorization.

131883133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816.

The product of its digits is 5184, while the sum is 31.

The square root of 131883133 is about 11484.0381834963. The cubic root of 131883133 is about 509.0140286879.

The spelling of 131883133 in words is "one hundred thirty-one million, eight hundred eighty-three thousand, one hundred thirty-three".

Divisors: 1 37 53 109 617 1961 4033 5777 22829 32701 67253 213749 1209937 2488361 3564409 131883133