Search a number
-
+
13210222122331 = 13173349118114251
BaseRepresentation
bin1100000000111011111010…
…0110001101010101011011
31201202212220002111211110021
43000032332212031111123
53212414013330403311
644032405310131311
72532256422223333
oct300167646152533
951685802454407
1013210222122331
114233472aa8783
1215942907b0b37
1374a9459c6490
1433954196a0c3
1517d965243171
hexc03be98d55b

13210222122331 has 32 divisors (see below), whose sum is σ = 14362783646400. Its totient is φ = 12077743680000.

The previous prime is 13210222122311. The next prime is 13210222122343. The reversal of 13210222122331 is 13322122201231.

It is a cyclic number.

It is not a de Polignac number, because 13210222122331 - 227 = 13210087904603 is a prime.

It is a super-2 number, since 2×132102221223312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13210222122296 and 13210222122305.

It is not an unprimeable number, because it can be changed into a prime (13210222122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926960956 + ... + 926975206.

It is an arithmetic number, because the mean of its divisors is an integer number (448836988950).

Almost surely, 213210222122331 is an apocalyptic number.

13210222122331 is a deficient number, since it is larger than the sum of its proper divisors (1152561524069).

13210222122331 is a wasteful number, since it uses less digits than its factorization.

13210222122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15967.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13210222122331 its reverse (13322122201231), we get a palindrome (26532344323562).

The spelling of 13210222122331 in words is "thirteen trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 13 173 349 1181 2249 4537 14251 15353 60377 185263 204313 412169 784901 2465423 2656069 4973599 5358197 16830431 32050499 64656787 71305237 218795603 860432627 926968081 2911664563 5873820419 11185624151 37851639319 76359665447 1016170932487 13210222122331