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10022102233 = 1113347201973
BaseRepresentation
bin10010101010101110…
…10010010011011001
3221212110100112200121
421111113102103121
5131011124232413
64334252233241
7503233314643
oct112527222331
927773315617
1010022102233
114283240820
121b3846b821
13c39458710
146b1077893
153d9cc6b8d
hex2555d24d9

10022102233 has 16 divisors (see below), whose sum is σ = 11808207936. Its totient is φ = 8385877440.

The previous prime is 10022102231. The next prime is 10022102239. The reversal of 10022102233 is 33220122001.

10022102233 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 10022102233 - 21 = 10022102231 is a prime.

It is a super-3 number, since 3×100221022333 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022102231) 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, 51366 + ... + 150607.

It is an arithmetic number, because the mean of its divisors is an integer number (738012996).

Almost surely, 210022102233 is an apocalyptic number.

10022102233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10022102233 is a deficient number, since it is larger than the sum of its proper divisors (1786105703).

10022102233 is a wasteful number, since it uses less digits than its factorization.

10022102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202344.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10022102233 its reverse (33220122001), we get a palindrome (43242224234).

The spelling of 10022102233 in words is "ten billion, twenty-two million, one hundred two thousand, two hundred thirty-three".

Divisors: 1 11 13 143 347 3817 4511 49621 201973 2221703 2625649 28882139 70084631 770930941 911100203 10022102233