Search a number
-
+
221333221131 = 3111729101134699
BaseRepresentation
bin1100111000100001111…
…1001110111100001011
3210011022002111121022120
43032020133032330023
512111242301034011
6245402403022323
721663562223661
oct3161037167413
9704262447276
10221333221131
1185959918a70
1236a9006a9a3
1317b43c93c49
14a9d9494c31
155b56293a06
hex33887cef0b

221333221131 has 64 divisors (see below), whose sum is σ = 356125248000. Its totient is φ = 120689408000.

The previous prime is 221333221111. The next prime is 221333221141. The reversal of 221333221131 is 131122333122.

It is a cyclic number.

It is not a de Polignac number, because 221333221131 - 27 = 221333221003 is a prime.

It is a super-2 number, since 2×2213332211312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221333221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575820 + ... + 1710518.

It is an arithmetic number, because the mean of its divisors is an integer number (5564457000).

Almost surely, 2221333221131 is an apocalyptic number.

221333221131 is a deficient number, since it is larger than the sum of its proper divisors (134792026869).

221333221131 is a wasteful number, since it uses less digits than its factorization.

221333221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134860.

The product of its digits is 1296, while the sum is 24.

Adding to 221333221131 its reverse (131122333122), we get a palindrome (352455554253).

The spelling of 221333221131 in words is "two hundred twenty-one billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 17 29 33 51 87 101 187 303 319 493 561 957 1111 1479 1717 2929 3333 5151 5423 8787 16269 18887 32219 49793 56661 96657 134699 149379 404097 547723 1481689 1643169 2289883 3906271 4445067 6869649 11718813 13604599 25188713 40813797 42968981 66406607 75566139 128906943 149650589 199219821 231278183 394533371 448951767 693834549 730472677 1183600113 2191418031 2544060013 4339867081 6707067307 7632180039 13019601243 20121201921 73777740377 221333221131