Base | Representation |
---|---|
bin | 10010101010111101… |
… | …11101001111100000 |
3 | 221212121010201002220 |
4 | 21111132331033200 |
5 | 131012133104440 |
6 | 4334403311040 |
7 | 503256361410 |
oct | 112536751740 |
9 | 27777121086 |
10 | 10024113120 |
11 | 428439460a |
12 | 1b3907b480 |
13 | c399b0aa8 |
14 | 6b143c640 |
15 | 3da0728d0 |
hex | 2557bd3e0 |
10024113120 has 96 divisors (see below), whose sum is σ = 36086819328. Its totient is φ = 2291225088.
The previous prime is 10024113107. The next prime is 10024113137. The reversal of 10024113120 is 2131142001.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×100241131202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10024113120.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1488324 + ... + 1495043.
It is an arithmetic number, because the mean of its divisors is an integer number (375904368).
Almost surely, 210024113120 is an apocalyptic number.
10024113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10024113120 is an abundant number, since it is smaller than the sum of its proper divisors (26062706208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10024113120 is a wasteful number, since it uses less digits than its factorization.
10024113120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2983392 (or 2983384 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 10024113120 its reverse (2131142001), we get a palindrome (12155255121).
The spelling of 10024113120 in words is "ten billion, twenty-four million, one hundred thirteen thousand, one hundred twenty".
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