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11023122321 = 323149437993
BaseRepresentation
bin10100100010000011…
…10111111110010001
31001110012221122002200
422101001313332101
5140033404403241
65021451433413
7540106664601
oct122101677621
931405848080
1011023122321
1147472a0a52
122177755869
131068961cb3
14767dacc01
15447b0a4b6
hex291077f91

11023122321 has 24 divisors (see below), whose sum is σ = 16441291776. Its totient is φ = 7109363520.

The previous prime is 11023122287. The next prime is 11023122329. The reversal of 11023122321 is 12322132011.

11023122321 is a `hidden beast` number, since 110 + 231 + 2 + 2 + 321 = 666.

11023122321 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 11023122321 - 27 = 11023122193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11023122294 and 11023122303.

It is not an unprimeable number, because it can be changed into a prime (11023122329) 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 23 ways as a sum of consecutive naturals, for example, 1375101 + ... + 1383093.

It is an arithmetic number, because the mean of its divisors is an integer number (685053824).

Almost surely, 211023122321 is an apocalyptic number.

It is an amenable number.

11023122321 is a deficient number, since it is larger than the sum of its proper divisors (5418169455).

11023122321 is a wasteful number, since it uses less digits than its factorization.

11023122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12973 (or 12970 counting only the distinct ones).

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

Adding to 11023122321 its reverse (12322132011), we get a palindrome (23345254332).

The spelling of 11023122321 in words is "eleven billion, twenty-three million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 31 93 279 4943 7993 14829 23979 44487 71937 153233 247783 459699 743349 1379097 2230047 39509399 118528197 355584591 1224791369 3674374107 11023122321