Base | Representation |
---|---|
bin | 111101000111000011… |
… | …0100011110010011001 |
3 | 110112201212020100221100 |
4 | 1322032012203302121 |
5 | 4122231133244001 |
6 | 140142044502013 |
7 | 12324035653560 |
oct | 1721606436231 |
9 | 415655210840 |
10 | 131233103001 |
11 | 50723735720 |
12 | 2152584a909 |
13 | c4b54b9490 |
14 | 64cd174bd7 |
15 | 363123c586 |
hex | 1e8e1a3c99 |
131233103001 has 192 divisors, whose sum is σ = 268973752320. Its totient is φ = 59423569920.
The previous prime is 131233102991. The next prime is 131233103041. The reversal of 131233103001 is 100301332131.
It is a happy number.
131233103001 is a `hidden beast` number, since 1 + 31 + 2 + 331 + 0 + 300 + 1 = 666.
It is not a de Polignac number, because 131233103001 - 26 = 131233102937 is a prime.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (131233103041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16365345 + ... + 16373361.
It is an arithmetic number, because the mean of its divisors is an integer number (1400904960).
Almost surely, 2131233103001 is an apocalyptic number.
131233103001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
131233103001 is an abundant number, since it is smaller than the sum of its proper divisors (137740649319).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131233103001 is a wasteful number, since it uses less digits than its factorization.
131233103001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8156 (or 8153 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 131233103001 its reverse (100301332131), we get a palindrome (231534435132).
The spelling of 131233103001 in words is "one hundred thirty-one billion, two hundred thirty-three million, one hundred three thousand, one".
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