Search a number
-
+
221333011131 = 31923197856993
BaseRepresentation
bin1100111000100001111…
…0011011101010111011
3210011022002002221020210
43032020132123222323
512111242222324011
6245402354322203
721663560360511
oct3161036335273
9704262087223
10221333011131
1185959795211
1236a8bb89363
1317b43c1c49b
14a9d943c4b1
155b562516a6
hex338879babb

221333011131 has 32 divisors (see below), whose sum is σ = 325794839040. Its totient is φ = 133032582144.

The previous prime is 221333011099. The next prime is 221333011217. The reversal of 221333011131 is 131110333122.

It is a happy number.

It is not a de Polignac number, because 221333011131 - 25 = 221333011099 is a prime.

It is a super-2 number, since 2×2213330111312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221333011098 and 221333011107.

It is not an unprimeable number, because it can be changed into a prime (221333011331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170230 + ... + 686763.

It is an arithmetic number, because the mean of its divisors is an integer number (10181088720).

Almost surely, 2221333011131 is an apocalyptic number.

221333011131 is a deficient number, since it is larger than the sum of its proper divisors (104461827909).

221333011131 is a wasteful number, since it uses less digits than its factorization.

221333011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857235.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 221333011131 its reverse (131110333122), we get a palindrome (352443344253).

The spelling of 221333011131 in words is "two hundred twenty-one billion, three hundred thirty-three million, eleven thousand, one hundred thirty-one".

Divisors: 1 3 19 23 57 69 197 437 591 1311 3743 4531 11229 13593 86089 258267 856993 2570979 16282867 19710839 48848601 59132517 168827621 374505941 506482863 1123517823 3207724799 3883035283 9623174397 11649105849 73777670377 221333011131