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10022011993 = 72375527861
BaseRepresentation
bin10010101010101101…
…11100010001011001
3221212110011221220101
421111112330101121
5131011113340433
64334250255401
7503232460600
oct112526742131
927773157811
1010022011993
114283189a44
121b38427561
13c39426616
146b1052a37
153d9caa07d
hex2555bc459

10022011993 has 12 divisors (see below), whose sum is σ = 11973349092. Its totient is φ = 8358124320.

The previous prime is 10022011949. The next prime is 10022012017. The reversal of 10022011993 is 39911022001.

10022011993 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 8429443344 + 1592568649 = 91812^2 + 39907^2 .

It is not a de Polignac number, because 10022011993 - 225 = 9988457561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022011903) 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 11 ways as a sum of consecutive naturals, for example, 2762118 + ... + 2765743.

It is an arithmetic number, because the mean of its divisors is an integer number (997779091).

Almost surely, 210022011993 is an apocalyptic number.

It is an amenable number.

10022011993 is a deficient number, since it is larger than the sum of its proper divisors (1951337099).

10022011993 is an equidigital number, since it uses as much as digits as its factorization.

10022011993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527912 (or 5527905 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

Adding to 10022011993 its reverse (39911022001), we get a palindrome (49933033994).

The spelling of 10022011993 in words is "ten billion, twenty-two million, eleven thousand, nine hundred ninety-three".

Divisors: 1 7 37 49 259 1813 5527861 38695027 204530857 270865189 1431715999 10022011993