Base | Representation |
---|---|
bin | 10010111011111100111… |
… | …101111111000101110111 |
3 | 11121101221112010100200220 |
4 | 102323330331333011313 |
5 | 132310103000343111 |
6 | 2433453050305423 |
7 | 163006012312266 |
oct | 22737475770567 |
9 | 4541845110626 |
10 | 1301324231031 |
11 | 46198566a600 |
12 | 190256a28273 |
13 | 959395675b6 |
14 | 46dad3b65dd |
15 | 23cb52eee06 |
hex | 12efcf7f177 |
1301324231031 has 96 divisors (see below), whose sum is σ = 2071246614528. Its totient is φ = 724489920000.
The previous prime is 1301324231029. The next prime is 1301324231033.
1301324231031 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (1301324231029) and next prime (1301324231033).
It is not a de Polignac number, because 1301324231031 - 21 = 1301324231029 is a prime.
It is a super-2 number, since 2×13013242310312 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1301324230992 and 1301324231010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1301324231033) 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 95 ways as a sum of consecutive naturals, for example, 17032686 + ... + 17108916.
It is an arithmetic number, because the mean of its divisors is an integer number (21575485568).
Almost surely, 21301324231031 is an apocalyptic number.
1301324231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
1301324231031 is a deficient number, since it is larger than the sum of its proper divisors (769922383497).
1301324231031 is a wasteful number, since it uses less digits than its factorization.
1301324231031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76365 (or 76354 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The spelling of 1301324231031 in words is "one trillion, three hundred one billion, three hundred twenty-four million, two hundred thirty-one thousand, thirty-one".
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