Search a number
-
+
10221112021 = 311217270923
BaseRepresentation
bin10011000010011100…
…11100101011010101
3222101022211021210111
421201032130223111
5131413101041041
64410121523021
7511201006261
oct114116345325
928338737714
1010221112021
11437560781a
121b93043471
13c6b7570a3
146cd67d0a1
153ec4d7981
hex26139cad5

10221112021 has 8 divisors (see below), whose sum is σ = 10559533824. Its totient is φ = 9883234560.

The previous prime is 10221112003. The next prime is 10221112039. The reversal of 10221112021 is 12021112201.

10221112021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10221112003) and next prime (10221112039).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10221112021 - 211 = 10221109973 is a prime.

It is a super-3 number, since 3×102211120213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221111992 and 10221112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221112061) 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 7 ways as a sum of consecutive naturals, for example, 97735 + ... + 173188.

It is an arithmetic number, because the mean of its divisors is an integer number (1319941728).

Almost surely, 210221112021 is an apocalyptic number.

It is an amenable number.

10221112021 is a deficient number, since it is larger than the sum of its proper divisors (338421803).

10221112021 is a wasteful number, since it uses less digits than its factorization.

10221112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272171.

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

Adding to 10221112021 its reverse (12021112201), we get a palindrome (22242224222).

The spelling of 10221112021 in words is "ten billion, two hundred twenty-one million, one hundred twelve thousand, twenty-one".

Divisors: 1 31 1217 37727 270923 8398613 329713291 10221112021