Search a number
-
+
11223132201 = 337389137467
BaseRepresentation
bin10100111001111001…
…10110100000101001
31001222011022012002000
422130330312200221
5140441110212301
65053354401213
7545056023021
oct123474664051
931864265060
1011223132201
11483a190376
122212730209
13109b220938
14786794a81
1545a467786
hex29cf36829

11223132201 has 64 divisors (see below), whose sum is σ = 17205177600. Its totient is φ = 7227906048.

The previous prime is 11223132169. The next prime is 11223132223. The reversal of 11223132201 is 10223132211.

11223132201 is a `hidden beast` number, since 112 + 231 + 322 + 0 + 1 = 666.

11223132201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11223132201 - 25 = 11223132169 is a prime.

It is a super-2 number, since 2×112231322012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11223132241) 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 63 ways as a sum of consecutive naturals, for example, 24032170 + ... + 24032636.

It is an arithmetic number, because the mean of its divisors is an integer number (268830900).

Almost surely, 211223132201 is an apocalyptic number.

It is an amenable number.

11223132201 is a deficient number, since it is larger than the sum of its proper divisors (5982045399).

11223132201 is a wasteful number, since it uses less digits than its factorization.

11223132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11223132201 its reverse (10223132211), we get a palindrome (21446264412).

The spelling of 11223132201 in words is "eleven billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 27 73 89 137 219 267 411 467 657 801 1233 1401 1971 2403 3699 4203 6497 10001 12193 12609 19491 30003 34091 36579 41563 58473 63979 90009 102273 109737 124689 175419 191937 270027 306819 329211 374067 575811 890089 920457 1122201 1727433 2670267 3034099 4670467 5694131 8010801 9102297 14011401 17082393 24032403 27306891 42034203 51247179 81920673 126102609 153741537 415671563 1247014689 3741044067 11223132201