Base | Representation |
---|---|
bin | 10011010010010011… |
… | …10011001010011011 |
3 | 222201121002100021110 |
4 | 21221021303022123 |
5 | 132201123024011 |
6 | 4431232311403 |
7 | 514404330630 |
oct | 115111631233 |
9 | 28647070243 |
10 | 10354111131 |
11 | 4433697a41 |
12 | 200b6a2563 |
13 | c901829a0 |
14 | 7031c0187 |
15 | 409009ba6 |
hex | 26927329b |
10354111131 has 32 divisors (see below), whose sum is σ = 17279377920. Its totient is φ = 5368932864.
The previous prime is 10354111109. The next prime is 10354111211. The reversal of 10354111131 is 13111145301.
10354111131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10354111131 - 26 = 10354111067 is a prime.
It is a super-3 number, since 3×103541111313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 10354111098 and 10354111107.
It is not an unprimeable number, because it can be changed into a prime (10354111231) 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, 305310 + ... + 337523.
It is an arithmetic number, because the mean of its divisors is an integer number (539980560).
Almost surely, 210354111131 is an apocalyptic number.
10354111131 is a deficient number, since it is larger than the sum of its proper divisors (6925266789).
10354111131 is a wasteful number, since it uses less digits than its factorization.
10354111131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 642915.
The product of its (nonzero) digits is 180, while the sum is 21.
Adding to 10354111131 its reverse (13111145301), we get a palindrome (23465256432).
The spelling of 10354111131 in words is "ten billion, three hundred fifty-four million, one hundred eleven thousand, one hundred thirty-one".
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