Search a number
-
+
12221110011213 = 351723549125627
BaseRepresentation
bin1011000111010111001011…
…1010111100010101001101
31121021022211011120110200000
42301311302322330111031
53100212313130324323
641554144520554513
72400642333053505
oct261656272742515
947238734513600
1012221110011213
113991a41aa7964
121454649022a39
136a85a436104c
1430370d56ca05
15162d747c2e43
hexb1d72ebc54d

12221110011213 has 48 divisors (see below), whose sum is σ = 19384350148800. Its totient is φ = 7667760796416.

The previous prime is 12221110011193. The next prime is 12221110011233. The reversal of 12221110011213 is 31211001112221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12221110011193) and next prime (12221110011233).

It is not a de Polignac number, because 12221110011213 - 25 = 12221110011181 is a prime.

It is a super-2 number, since 2×122211100112132 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221110011233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97218106 + ... + 97343732.

It is an arithmetic number, because the mean of its divisors is an integer number (403840628100).

Almost surely, 212221110011213 is an apocalyptic number.

It is an amenable number.

12221110011213 is a deficient number, since it is larger than the sum of its proper divisors (7163240137587).

12221110011213 is a wasteful number, since it uses less digits than its factorization.

12221110011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149208 (or 149196 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12221110011213 its reverse (31211001112221), we get a palindrome (43432111123434).

The spelling of 12221110011213 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million, eleven thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 23549 70647 125627 211941 376881 400333 635823 1130643 1200999 1907469 2135659 3391929 3602997 5722407 6406977 10175787 10808991 19220931 30527361 32426973 57662793 97280919 172988379 518965137 2958390223 8875170669 26625512007 50292633791 79876536021 150877901373 239629608063 452633704119 718888824189 1357901112357 4073703337071 12221110011213