Search a number
-
+
11310122132213 = 236112376516883
BaseRepresentation
bin1010010010010101011111…
…0011111110001011110101
31111001020101212011022002012
42210211113303332023311
52440301112231212323
640015444241054005
72245062240622352
oct244452763761365
944036355138065
1011310122132213
1136706610a8a33
121327b89027305
136407033326b8
142b15acb4d629
151493077ed678
hexa4957cfe2f5

11310122132213 has 16 divisors (see below), whose sum is σ = 12005038759296. Its totient is φ = 10632423320640.

The previous prime is 11310122132209. The next prime is 11310122132227. The reversal of 11310122132213 is 31223122101311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11310122132213 - 22 = 11310122132209 is a prime.

It is a super-3 number, since 3×113101221322133 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310122132513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522931 + ... + 4993952.

It is an arithmetic number, because the mean of its divisors is an integer number (750314922456).

Almost surely, 211310122132213 is an apocalyptic number.

It is an amenable number.

11310122132213 is a deficient number, since it is larger than the sum of its proper divisors (694916627083).

11310122132213 is a wasteful number, since it uses less digits than its factorization.

11310122132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518204.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11310122132213 its reverse (31223122101311), we get a palindrome (42533244233524).

The spelling of 11310122132213 in words is "eleven trillion, three hundred ten billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 23 61 1237 1403 28451 75457 1735511 6516883 149888309 397529863 8061384271 9143186849 185411838233 491744440531 11310122132213