Base | Representation |
---|---|
bin | 1010100111000001110010… |
… | …00110011001101000000101 |
3 | 10001121102221212012221200000 |
4 | 11103200321012121220011 |
5 | 11024224314401043023 |
6 | 121342114210511513 |
7 | 4625424250443510 |
oct | 523407106315005 |
9 | 101542855187600 |
10 | 23331220331013 |
11 | 74857956a6871 |
12 | 27498b6595599 |
13 | 1003180a99a8a |
14 | 5a9346803d77 |
15 | 2a6d72ab7243 |
hex | 153839199a05 |
23331220331013 has 48 divisors (see below), whose sum is σ = 39942604141440. Its totient is φ = 13331761690176.
The previous prime is 23331220330969. The next prime is 23331220331063. The reversal of 23331220331013 is 31013302213332.
23331220331013 is a `hidden beast` number, since 2 + 3 + 3 + 312 + 2 + 0 + 331 + 0 + 13 = 666.
It is not a de Polignac number, because 23331220331013 - 26 = 23331220330949 is a prime.
It is a super-2 number, since 2×233312203310132 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23331220331063) 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 47 ways as a sum of consecutive naturals, for example, 69773223 + ... + 70106811.
It is an arithmetic number, because the mean of its divisors is an integer number (832137586280).
Almost surely, 223331220331013 is an apocalyptic number.
It is an amenable number.
23331220331013 is a deficient number, since it is larger than the sum of its proper divisors (16611383810427).
23331220331013 is an equidigital number, since it uses as much as digits as its factorization.
23331220331013 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 374728 (or 374716 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 23331220331013 its reverse (31013302213332), we get a palindrome (54344522544345).
The spelling of 23331220331013 in words is "twenty-three trillion, three hundred thirty-one billion, two hundred twenty million, three hundred thirty-one thousand, thirteen".
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