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133131100023 = 3229510080843
BaseRepresentation
bin111101111111100111…
…0110101111101110111
3110201122010122121101100
41323333032311331313
54140123030200043
6141054245301143
712422053451565
oct1737716657567
9421563577340
10133131100023
11515080429a9
12219754047b3
13c72879b43c
14662d27aa35
1536e2ba1cd3
hex1eff3b5f77

133131100023 has 12 divisors (see below), whose sum is σ = 198931529160. Its totient is φ = 85693581456.

The previous prime is 133131099979. The next prime is 133131100093. The reversal of 133131100023 is 320001131331.

It is a happy number.

133131100023 is a `hidden beast` number, since 1 + 331 + 311 + 0 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 133131100023 - 210 = 133131098999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133131099969 and 133131100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131100093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255040161 + ... + 255040682.

It is an arithmetic number, because the mean of its divisors is an integer number (16577627430).

Almost surely, 2133131100023 is an apocalyptic number.

133131100023 is a deficient number, since it is larger than the sum of its proper divisors (65800429137).

133131100023 is a wasteful number, since it uses less digits than its factorization.

133131100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510080878 (or 510080875 counting only the distinct ones).

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

Adding to 133131100023 its reverse (320001131331), we get a palindrome (453132231354).

The spelling of 133131100023 in words is "one hundred thirty-three billion, one hundred thirty-one million, one hundred thousand, twenty-three".

Divisors: 1 3 9 29 87 261 510080843 1530242529 4590727587 14792344447 44377033341 133131100023