Base | Representation |
---|---|
bin | 11000011100001001… |
… | …10000111101010111 |
3 | 1020212102112111012000 |
4 | 30032010300331113 |
5 | 203332441011043 |
6 | 10005553130343 |
7 | 643102634451 |
oct | 141604607527 |
9 | 36772474160 |
10 | 13121032023 |
11 | 5623531620 |
12 | 26622599b3 |
13 | 131149a598 |
14 | 8c68732d1 |
15 | 51bdad2d3 |
hex | 30e130f57 |
13121032023 has 32 divisors (see below), whose sum is σ = 21215623680. Its totient is φ = 7948422720.
The previous prime is 13121032013. The next prime is 13121032037. The reversal of 13121032023 is 32023012131.
13121032023 is a `hidden beast` number, since 1 + 312 + 10 + 320 + 23 = 666.
13121032023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 13121032023 - 210 = 13121030999 is a prime.
It is a super-2 number, since 2×131210320232 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 13121031987 and 13121032005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13121032003) 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 31 ways as a sum of consecutive naturals, for example, 710515 + ... + 728747.
It is an arithmetic number, because the mean of its divisors is an integer number (662988240).
Almost surely, 213121032023 is an apocalyptic number.
13121032023 is a deficient number, since it is larger than the sum of its proper divisors (8094591657).
13121032023 is a wasteful number, since it uses less digits than its factorization.
13121032023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20676 (or 20670 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13121032023 its reverse (32023012131), we get a palindrome (45144044154).
The spelling of 13121032023 in words is "thirteen billion, one hundred twenty-one million, thirty-two thousand, twenty-three".
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