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10022211011 = 41976134111
BaseRepresentation
bin10010101010101111…
…01100110111000011
3221212110120001220102
421111113230313003
5131011141223021
64334254433015
7503234250041
oct112527546703
927773501812
1010022211011
11428330551a
121b3850276b
13c39496097
146b10a5391
153d9ce900b
hex2555ecdc3

10022211011 has 16 divisors (see below), whose sum is σ = 10391945088. Its totient is φ = 9658828800.

The previous prime is 10022210993. The next prime is 10022211047. The reversal of 10022211011 is 11011222001.

It is a cyclic number.

It is not a de Polignac number, because 10022211011 - 214 = 10022194627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022210983 and 10022211001.

It is not an unprimeable number, because it can be changed into a prime (10022211071) by changing a digit.

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, 2435846 + ... + 2439956.

It is an arithmetic number, because the mean of its divisors is an integer number (649496568).

Almost surely, 210022211011 is an apocalyptic number.

10022211011 is a deficient number, since it is larger than the sum of its proper divisors (369734077).

10022211011 is an equidigital number, since it uses as much as digits as its factorization.

10022211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10022211011 its reverse (11011222001), we get a palindrome (21033433012).

The spelling of 10022211011 in words is "ten billion, twenty-two million, two hundred eleven thousand, eleven".

Divisors: 1 41 97 613 3977 4111 25133 59461 168551 398767 2437901 2520043 16349447 103321763 244444171 10022211011