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10022111140 = 225501105557
BaseRepresentation
bin10010101010101110…
…10100011110100100
3221212110100222220111
421111113110132210
5131011130024030
64334252342404
7503233352626
oct112527243644
927773328814
1010022111140
114283247488
121b38474a04
13c3945c7a2
146b107ac16
153d9cc962a
hex2555d47a4

10022111140 has 12 divisors (see below), whose sum is σ = 21046433436. Its totient is φ = 4008844448.

The previous prime is 10022111111. The next prime is 10022111219. The reversal of 10022111140 is 4111122001.

10022111140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7012052644 + 3010058496 = 83738^2 + 54864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10022111140.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 250552759 + ... + 250552798.

It is an arithmetic number, because the mean of its divisors is an integer number (1753869453).

Almost surely, 210022111140 is an apocalyptic number.

10022111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022111140 is an abundant number, since it is smaller than the sum of its proper divisors (11024322296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022111140 is a wasteful number, since it uses less digits than its factorization.

10022111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501105566 (or 501105564 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022111140 its reverse (4111122001), we get a palindrome (14133233141).

The spelling of 10022111140 in words is "ten billion, twenty-two million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 501105557 1002211114 2004422228 2505527785 5011055570 10022111140