Search a number
-
+
11001112323221 = 471901479925657
BaseRepresentation
bin1010000000010110010101…
…1001000110010010010101
31102221200210102200112220202
42200011211121012102111
52420220234223320341
635221501412310245
72213542550603216
oct240054531062225
942850712615822
1011001112323221
1135616001208a9
12129810a312385
1361a5289cab87
142a06571a140d
1514126e17679b
hexa0165646495

11001112323221 has 16 divisors (see below), whose sum is σ = 11243869286400. Its totient is φ = 10758720451200.

The previous prime is 11001112323217. The next prime is 11001112323251. The reversal of 11001112323221 is 12232321110011.

It is a cyclic number.

It is not a de Polignac number, because 11001112323221 - 22 = 11001112323217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001112323193 and 11001112323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001112323251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 428763425 + ... + 428789081.

It is an arithmetic number, because the mean of its divisors is an integer number (702741830400).

Almost surely, 211001112323221 is an apocalyptic number.

It is an amenable number.

11001112323221 is a deficient number, since it is larger than the sum of its proper divisors (242756963179).

11001112323221 is a wasteful number, since it uses less digits than its factorization.

11001112323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32404.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11001112323221 its reverse (12232321110011), we get a palindrome (23233433433232).

The spelling of 11001112323221 in words is "eleven trillion, one billion, one hundred twelve million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 47 1901 4799 25657 89347 225553 1205879 9122899 48773957 123127943 428776253 2292375979 5787013321 234066219643 11001112323221