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131133123 = 32111324577
BaseRepresentation
bin1111101000011…
…10111011000011
3100010202020211100
413310032323003
5232032224443
621002345443
73151420212
oct764167303
9303666740
10131133123
1168026290
1237abb283
1321224484
14135b7079
15b7a43d3
hex7d0eec3

131133123 has 12 divisors (see below), whose sum is σ = 206634168. Its totient is φ = 79474560.

The previous prime is 131133113. The next prime is 131133179. The reversal of 131133123 is 321331131.

It is a happy number.

131133123 is a `hidden beast` number, since 1 + 311 + 331 + 23 = 666.

It is not a de Polignac number, because 131133123 - 25 = 131133091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131133096 and 131133105.

It is not an unprimeable number, because it can be changed into a prime (131133113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662190 + ... + 662387.

It is an arithmetic number, because the mean of its divisors is an integer number (17219514).

Almost surely, 2131133123 is an apocalyptic number.

131133123 is a deficient number, since it is larger than the sum of its proper divisors (75501045).

131133123 is a wasteful number, since it uses less digits than its factorization.

131133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324594 (or 1324591 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131133123 is about 11451.3371708286. The cubic root of 131133123 is about 508.0472849015.

Adding to 131133123 its reverse (321331131), we get a palindrome (452464254).

The spelling of 131133123 in words is "one hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 1324577 3973731 11921193 14570347 43711041 131133123