Search a number
-
+
213312010121 = 7214929216821
BaseRepresentation
bin1100011010101001100…
…0101111011110001001
3202101121002011212101022
43012222120233132021
511443330333310441
6241554424402225
721261033112100
oct3065230573611
9671532155338
10213312010121
1182513083461
1235411916375
1317166235442
14a478069037
155836ea884b
hex31aa62f789

213312010121 has 12 divisors (see below), whose sum is σ = 249803828100. Its totient is φ = 181611753120.

The previous prime is 213312010099. The next prime is 213312010181. The reversal of 213312010121 is 121010213312.

It can be written as a sum of positive squares in 2 ways, for example, as 34285706896 + 179026303225 = 185164^2 + 423115^2 .

It is not a de Polignac number, because 213312010121 - 214 = 213311993737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213312010121.

It is not an unprimeable number, because it can be changed into a prime (213312010181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14601110 + ... + 14615711.

It is an arithmetic number, because the mean of its divisors is an integer number (20816985675).

Almost surely, 2213312010121 is an apocalyptic number.

It is an amenable number.

213312010121 is a deficient number, since it is larger than the sum of its proper divisors (36491817979).

213312010121 is a wasteful number, since it uses less digits than its factorization.

213312010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29216984 (or 29216977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213312010121 its reverse (121010213312), we get a palindrome (334322223433).

The spelling of 213312010121 in words is "two hundred thirteen billion, three hundred twelve million, ten thousand, one hundred twenty-one".

Divisors: 1 7 49 149 1043 7301 29216821 204517747 1431624229 4353306329 30473144303 213312010121