Base | Representation |
---|---|
bin | 100001111011001101000… |
… | …110110111000010111001 |
3 | 22020212112020110111222100 |
4 | 201323031012313002321 |
5 | 301144012212331131 |
6 | 4542553545014013 |
7 | 330301055645631 |
oct | 41731506670271 |
9 | 8225466414870 |
10 | 2331313402041 |
11 | 819782702548 |
12 | 3179a8184309 |
13 | 13bac38a6230 |
14 | 80b9c6496c1 |
15 | 409997517e6 |
hex | 21ecd1b70b9 |
2331313402041 has 96 divisors (see below), whose sum is σ = 3878616661920. Its totient is φ = 1336639905792.
The previous prime is 2331313402039. The next prime is 2331313402043. The reversal of 2331313402041 is 1402043131332.
It is a happy number.
2331313402041 is a `hidden beast` number, since 2 + 3 + 313 + 1 + 340 + 2 + 0 + 4 + 1 = 666.
It is an interprime number because it is at equal distance from previous prime (2331313402039) and next prime (2331313402043).
It can be written as a sum of positive squares in 16 ways, for example, as 504412448400 + 1826900953641 = 710220^2 + 1351629^2 .
It is not a de Polignac number, because 2331313402041 - 21 = 2331313402039 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2331313401996 and 2331313402014.
It is not an unprimeable number, because it can be changed into a prime (2331313402043) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268178491 + ... + 268187183.
It is an arithmetic number, because the mean of its divisors is an integer number (40402256895).
Almost surely, 22331313402041 is an apocalyptic number.
It is an amenable number.
2331313402041 is a deficient number, since it is larger than the sum of its proper divisors (1547303259879).
2331313402041 is a wasteful number, since it uses less digits than its factorization.
2331313402041 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10075 (or 10072 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 2331313402041 its reverse (1402043131332), we get a palindrome (3733356533373).
The spelling of 2331313402041 in words is "two trillion, three hundred thirty-one billion, three hundred thirteen million, four hundred two thousand, forty-one".
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