Search a number
-
+
10101442211 = 71791193179
BaseRepresentation
bin10010110100001011…
…11100011010100011
3222001222122102200022
421122011330122203
5131141432122321
64350204544055
7505215561560
oct113205743243
928058572608
1010101442211
114314001053
121b5ab5202b
13c4ca17553
146bb80b867
153e1c49dab
hex25a17c6a3

10101442211 has 16 divisors (see below), whose sum is σ = 12237143040. Its totient is φ = 8140030080.

The previous prime is 10101442159. The next prime is 10101442249. The reversal of 10101442211 is 11224410101.

10101442211 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 10101442211 - 210 = 10101441187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101442211.

It is not an unprimeable number, because it can be changed into a prime (10101442271) 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, 61820 + ... + 154998.

It is an arithmetic number, because the mean of its divisors is an integer number (764821440).

Almost surely, 210101442211 is an apocalyptic number.

10101442211 is a deficient number, since it is larger than the sum of its proper divisors (2135700829).

10101442211 is an equidigital number, since it uses as much as digits as its factorization.

10101442211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94114.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10101442211 its reverse (11224410101), we get a palindrome (21325852312).

The spelling of 10101442211 in words is "ten billion, one hundred one million, four hundred forty-two thousand, two hundred eleven".

Divisors: 1 7 17 119 911 6377 15487 93179 108409 652253 1584043 11088301 84886069 594202483 1443063173 10101442211