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10222320121 = 1341153112527
BaseRepresentation
bin10011000010100110…
…00011100111111001
3222101102002122222221
421201103003213321
5131413403220441
64410203444041
7511214200366
oct114123034771
928342078887
1010222320121
114376262452
121b93526621
13c6ba8ac40
146cd8b546d
153ec6758d1
hex2614c39f9

10222320121 has 16 divisors (see below), whose sum is σ = 11285422848. Its totient is φ = 9199094400.

The previous prime is 10222320109. The next prime is 10222320139. The reversal of 10222320121 is 12102322201.

It is a happy number.

10222320121 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 not a de Polignac number, because 10222320121 - 27 = 10222319993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222320095 and 10222320104.

It is not an unprimeable number, because it can be changed into a prime (10222320821) 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, 809760 + ... + 822286.

It is an arithmetic number, because the mean of its divisors is an integer number (705338928).

Almost surely, 210222320121 is an apocalyptic number.

It is an amenable number.

10222320121 is a deficient number, since it is larger than the sum of its proper divisors (1063102727).

10222320121 is a wasteful number, since it uses less digits than its factorization.

10222320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222320121 its reverse (12102322201), we get a palindrome (22324642322).

The spelling of 10222320121 in words is "ten billion, two hundred twenty-two million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 13 41 533 1531 12527 19903 62771 162851 513607 816023 6676891 19178837 249324881 786332317 10222320121