Search a number
-
+
10021332213 = 321113481357
BaseRepresentation
bin10010101010101000…
…10110010011110101
3221212101220102102100
421111110112103311
5131010430112323
64334223532313
7503223626664
oct112524262365
927771812370
1010021332213
114282865242
121b3815a099
13c39249099
146b0d16ddb
153d9bc3943
hex2555164f5

10021332213 has 6 divisors (see below), whose sum is σ = 14475257654. Its totient is φ = 6680888136.

The previous prime is 10021332173. The next prime is 10021332221. The reversal of 10021332213 is 31223312001.

10021332213 is a `hidden beast` number, since 100 + 21 + 332 + 213 = 666.

10021332213 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 only one way, i.e., 6823090404 + 3198241809 = 82602^2 + 56553^2 .

It is not a de Polignac number, because 10021332213 - 218 = 10021070069 is a prime.

It is a super-2 number, since 2×100213322132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021332263) 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 5 ways as a sum of consecutive naturals, for example, 556740670 + ... + 556740687.

Almost surely, 210021332213 is an apocalyptic number.

It is an amenable number.

10021332213 is a deficient number, since it is larger than the sum of its proper divisors (4453925441).

10021332213 is a wasteful number, since it uses less digits than its factorization.

10021332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113481363 (or 1113481360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10021332213 its reverse (31223312001), we get a palindrome (41244644214).

The spelling of 10021332213 in words is "ten billion, twenty-one million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 1113481357 3340444071 10021332213