Base | Representation |
---|---|
bin | 10010101010110000… |
… | …01111000010110111 |
3 | 221212110211011222100 |
4 | 21111120033002313 |
5 | 131011210213111 |
6 | 4334301433143 |
7 | 503235402210 |
oct | 112530170267 |
9 | 27773734870 |
10 | 10022351031 |
11 | 42833a0740 |
12 | 1b3856b7b3 |
13 | c39514a34 |
14 | 6b1100407 |
15 | 3d9d25756 |
hex | 25560f0b7 |
10022351031 has 48 divisors (see below), whose sum is σ = 18059558400. Its totient is φ = 5203344960.
The previous prime is 10022351029. The next prime is 10022351047. The reversal of 10022351031 is 13015322001.
10022351031 is a `hidden beast` number, since 100 + 2 + 23 + 510 + 31 = 666.
10022351031 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 10022351031 - 21 = 10022351029 is a prime.
It is a super-2 number, since 2×100223510312 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10022350995 and 10022351013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022351051) 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 47 ways as a sum of consecutive naturals, for example, 1613670 + ... + 1619868.
It is an arithmetic number, because the mean of its divisors is an integer number (376240800).
Almost surely, 210022351031 is an apocalyptic number.
10022351031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
10022351031 is a deficient number, since it is larger than the sum of its proper divisors (8037207369).
10022351031 is a wasteful number, since it uses less digits than its factorization.
10022351031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8556 (or 8553 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
Adding to 10022351031 its reverse (13015322001), we get a palindrome (23037673032).
The spelling of 10022351031 in words is "ten billion, twenty-two million, three hundred fifty-one thousand, thirty-one".
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