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10022230211 = 735314472803
BaseRepresentation
bin10010101010101111…
…10001100011000011
3221212110121001020112
421111113301203003
5131011142331321
64334255101535
7503234360030
oct112527614303
927773531215
1010022230211
114283318994
121b385118ab
13c394a1a46
146b10ac387
153d9ceea5b
hex2555f18c3

10022230211 has 16 divisors (see below), whose sum is σ = 11498463744. Its totient is φ = 8557173504.

The previous prime is 10022230111. The next prime is 10022230213. The reversal of 10022230211 is 11203222001.

It is a happy number.

10022230211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022230211 is a prime.

It is a super-2 number, since 2×100222302112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022230213) 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 15 ways as a sum of consecutive naturals, for example, 3574136 + ... + 3576938.

It is an arithmetic number, because the mean of its divisors is an integer number (718653984).

Almost surely, 210022230211 is an apocalyptic number.

10022230211 is a deficient number, since it is larger than the sum of its proper divisors (1476233533).

10022230211 is a wasteful number, since it uses less digits than its factorization.

10022230211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10022230211 its reverse (11203222001), we get a palindrome (21225452212).

The spelling of 10022230211 in words is "ten billion, twenty-two million, two hundred thirty thousand, two hundred eleven".

Divisors: 1 7 353 1447 2471 2803 10129 19621 510791 989459 3575537 4055941 6926213 28391587 1431747173 10022230211