Base | Representation |
---|---|
bin | 1001000110111010101010… |
… | …0111011011110000101100 |
3 | 1022110100222221010202011011 |
4 | 2101232222213123300230 |
5 | 2303034023343343040 |
6 | 33144322144235004 |
7 | 2052342640651156 |
oct | 221565247336054 |
9 | 38410887122134 |
10 | 10014431231020 |
11 | 3211107399527 |
12 | 1158a4490ba64 |
13 | 578483bc2088 |
14 | 2689b59b9ad6 |
15 | 125771d583ea |
hex | 91baa9dbc2c |
10014431231020 has 72 divisors (see below), whose sum is σ = 22344596956080. Its totient is φ = 3769388620800.
The previous prime is 10014431230939. The next prime is 10014431231023. The reversal of 10014431231020 is 2013213441001.
It is a super-2 number, since 2×100144312310202 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10014431230982 and 10014431231000.
It is not an unprimeable number, because it can be changed into a prime (10014431231023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29313951 + ... + 29653609.
It is an arithmetic number, because the mean of its divisors is an integer number (310341624390).
Almost surely, 210014431231020 is an apocalyptic number.
10014431231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10014431231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172298478040).
10014431231020 is an abundant number, since it is smaller than the sum of its proper divisors (12330165725060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10014431231020 is a wasteful number, since it uses less digits than its factorization.
10014431231020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344803 (or 344784 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
Adding to 10014431231020 its reverse (2013213441001), we get a palindrome (12027644672021).
The spelling of 10014431231020 in words is "ten trillion, fourteen billion, four hundred thirty-one million, two hundred thirty-one thousand, twenty".
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