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10022112021 = 37618215347
BaseRepresentation
bin10010101010101110…
…10100101100010101
3221212110101001010010
421111113110230111
5131011130041041
64334252350433
7503233355325
oct112527245425
927773331103
1010022112021
114283248109
121b38475419
13c3945cccc
146b107b285
153d9cc9a16
hex2555d4b15

10022112021 has 16 divisors (see below), whose sum is σ = 13399178688. Its totient is φ = 6663254400.

The previous prime is 10022112019. The next prime is 10022112043. The reversal of 10022112021 is 12021122001.

10022112021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022112021 - 21 = 10022112019 is a prime.

It is a super-2 number, since 2×100221120212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022111988 and 10022112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022112011) 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, 1871670 + ... + 1877016.

It is an arithmetic number, because the mean of its divisors is an integer number (837448668).

Almost surely, 210022112021 is an apocalyptic number.

It is an amenable number.

10022112021 is a deficient number, since it is larger than the sum of its proper divisors (3377066667).

10022112021 is an equidigital number, since it uses as much as digits as its factorization.

10022112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022112021 its reverse (12021122001), we get a palindrome (22043234022).

The spelling of 10022112021 in words is "ten billion, twenty-two million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 761 821 2283 2463 5347 16041 624781 1874343 4069067 4389887 12207201 13169661 3340704007 10022112021