Search a number
-
+
11221307431684 = 22722392732
BaseRepresentation
bin1010001101001010101000…
…0010110001101100000100
31110201202011012122001011021
42203102222002301230010
52432322214200303214
635510555241520524
72235466313256400
oct243225202615404
943652135561137
1011221307431684
113636a25562989
1213129211a3144
1363521ac5866c
142ab185436100
15146d5a556924
hexa34aa0b1b04

11221307431684 has 27 divisors (see below), whose sum is σ = 22843471313397. Its totient is φ = 4809111657504.

The previous prime is 11221307431673. The next prime is 11221307431693. The reversal of 11221307431684 is 48613470312211.

The square root of 11221307431684 is 3349822.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5620171076100 + 5601136355584 = 2370690^2 + 2366672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11221307431684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46777872 + ... + 47017144.

Almost surely, 211221307431684 is an apocalyptic number.

11221307431684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11221307431684 is the 3349822-nd square number.

It is an amenable number.

11221307431684 is an abundant number, since it is smaller than the sum of its proper divisors (11622163881713).

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

11221307431684 is an frugal number, since it uses more digits than its factorization.

11221307431684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478564 (or 239282 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

Adding to 11221307431684 its reverse (48613470312211), we get a palindrome (59834777743895).

The spelling of 11221307431684 in words is "eleven trillion, two hundred twenty-one billion, three hundred seven million, four hundred thirty-one thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 239273 478546 957092 1674911 3349822 6699644 11724377 23448754 46897508 57251568529 114503137058 229006274116 400760979703 801521959406 1603043918812 2805326857921 5610653715842 11221307431684