Base | Representation |
---|---|
bin | 101111100000100011… |
… | …1000100000011110011 |
3 | 100202100020100101101022 |
4 | 1133001013010003303 |
5 | 3132421132232011 |
6 | 114511430330055 |
7 | 10241152362620 |
oct | 1370107040363 |
9 | 322306311338 |
10 | 102024102131 |
11 | 3a2a4a44a86 |
12 | 179337b992b |
13 | 980bc75403 |
14 | 4d1bbd1347 |
15 | 29c1cad8db |
hex | 17c11c40f3 |
102024102131 has 24 divisors (see below), whose sum is σ = 119097377280. Its totient is φ = 85611228912.
The previous prime is 102024102109. The next prime is 102024102197. The reversal of 102024102131 is 131201420201.
It is a de Polignac number, because none of the positive numbers 2k-102024102131 is a prime.
It is a super-2 number, since 2×1020241021312 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (102024102931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5111990 + ... + 5131908.
It is an arithmetic number, because the mean of its divisors is an integer number (4962390720).
Almost surely, 2102024102131 is an apocalyptic number.
102024102131 is a deficient number, since it is larger than the sum of its proper divisors (17073275149).
102024102131 is an equidigital number, since it uses as much as digits as its factorization.
102024102131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20223 (or 20156 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
Adding to 102024102131 its reverse (131201420201), we get a palindrome (233225522332).
The spelling of 102024102131 in words is "one hundred two billion, twenty-four million, one hundred two thousand, one hundred thirty-one".
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