Search a number
-
+
11221302404 = 22131721017393
BaseRepresentation
bin10100111001101011…
…10111110010000100
31001222000212020001202
422130311313302010
5140440123134104
65053251242032
7545034332234
oct123465676204
931860766052
1011221302404
114839150644
122211ba9318
13109aa2cb10
14786439cc4
1545a20551e
hex29cd77c84

11221302404 has 72 divisors (see below), whose sum is σ = 22690500168. Its totient is φ = 4825497600.

The previous prime is 11221302401. The next prime is 11221302413. The reversal of 11221302404 is 40420312211.

It can be written as a sum of positive squares in 12 ways, for example, as 380328004 + 10840974400 = 19502^2 + 104120^2 .

It is a super-3 number, since 3×112213024043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221302401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514132 + ... + 1521524.

Almost surely, 211221302404 is an apocalyptic number.

It is an amenable number.

11221302404 is an abundant number, since it is smaller than the sum of its proper divisors (11469197764).

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

11221302404 is a wasteful number, since it uses less digits than its factorization.

11221302404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11221302404 its reverse (40420312211), we get a palindrome (51641614615).

The spelling of 11221302404 in words is "eleven billion, two hundred twenty-one million, three hundred two thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 52 68 101 202 221 289 404 442 578 884 1156 1313 1717 2626 3434 3757 5252 6868 7393 7514 14786 15028 22321 29189 29572 44642 58378 89284 96109 116756 125681 192218 251362 379457 384436 502724 746693 758914 1493386 1517828 1633853 2136577 2986772 3267706 4273154 6535412 8546308 9707009 12693781 19414018 25387562 27775501 38828036 50775124 55551002 111102004 165019153 215794277 330038306 431588554 660076612 863177108 2805325601 5610651202 11221302404