Base | Representation |
---|---|
bin | 11101110111000000010111… |
… | …111101010110111001010111 |
3 | 122012222101110002211020201000 |
4 | 131313000113331112321113 |
5 | 114203100130413044111 |
6 | 1143145033513034343 |
7 | 36442540225143114 |
oct | 3567002775267127 |
9 | 565871402736630 |
10 | 131323322003031 |
11 | 389309a9751494 |
12 | 1288b40a9b59b3 |
13 | 5837975371602 |
14 | 2460122cd590b |
15 | 102b04abd6c56 |
hex | 777017f56e57 |
131323322003031 has 32 divisors (see below), whose sum is σ = 194767683563520. Its totient is φ = 87452345945952.
The previous prime is 131323322003023. The next prime is 131323322003047. The reversal of 131323322003031 is 130300223323131.
131323322003031 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 332 + 20 + 0 + 303 + 1 = 666.
It is not a de Polignac number, because 131323322003031 - 23 = 131323322003023 is a prime.
It is a super-3 number, since 3×1313233220030313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 131323322002986 and 131323322003004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131323322003131) 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 31 ways as a sum of consecutive naturals, for example, 115569466 + ... + 116700248.
It is an arithmetic number, because the mean of its divisors is an integer number (6086490111360).
Almost surely, 2131323322003031 is an apocalyptic number.
131323322003031 is a deficient number, since it is larger than the sum of its proper divisors (63444361560489).
131323322003031 is a wasteful number, since it uses less digits than its factorization.
131323322003031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1135532 (or 1135526 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 131323322003031 its reverse (130300223323131), we get a palindrome (261623545326162).
The spelling of 131323322003031 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred twenty-two million, three thousand, thirty-one".
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