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11323343322 = 234192375233
BaseRepresentation
bin10101000101110110…
…01000000111011010
31002020010212102220000
422202323020013122
5141142233441242
65111334313430
7550413554514
oct124273100732
932203772800
1011323343322
114890806485
1222401b8876
1310b5c09565
14795bdcbb4
1546415ea4c
hex2a2ec81da

11323343322 has 120 divisors (see below), whose sum is σ = 27507360276. Its totient is φ = 3478484736.

The previous prime is 11323343299. The next prime is 11323343327. The reversal of 11323343322 is 22334332311.

11323343322 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 334 + 3 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8495124561 + 2828218761 = 92169^2 + 53181^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11323343327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2161218 + ... + 2166450.

Almost surely, 211323343322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323343322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753680138).

11323343322 is an abundant number, since it is smaller than the sum of its proper divisors (16184016954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11323343322 is a wasteful number, since it uses less digits than its factorization.

11323343322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5294 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 11323343322 its reverse (22334332311), we get a palindrome (33657675633).

The spelling of 11323343322 in words is "eleven billion, three hundred twenty-three million, three hundred forty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 361 513 666 703 722 999 1026 1083 1406 1539 1998 2109 2166 2997 3078 3249 4218 5233 5994 6327 6498 9747 10466 12654 13357 15699 18981 19494 26714 29241 31398 37962 40071 47097 56943 58482 80142 94194 99427 113886 120213 141291 193621 198854 240426 282582 298281 360639 387242 423873 580863 596562 721278 847746 894843 1081917 1161726 1742589 1789686 1889113 2163834 2684529 3485178 3678799 3778226 5227767 5369058 5667339 7357598 8053587 10455534 11036397 11334678 15683301 16107174 17002017 22072794 31366602 33109191 34004034 51006051 66218382 69897181 99327573 102012102 139794362 153018153 198655146 209691543 297982719 306036306 419383086 595965438 629074629 1258149258 1887223887 3774447774 5661671661 11323343322