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11023332113331 = 3310338923101837
BaseRepresentation
bin1010000001101001000111…
…0010110111101110110011
31110000211010222010211202000
42200122101302313232303
52421101241010111311
635240014315425043
72215260305652336
oct240322162675663
943024128124660
1011023332113331
11356aa72666aaa
1212a048b755183
1361c65a245b85
142a17641d661d
15141b1ec1d056
hexa0691cb7bb3

11023332113331 has 32 divisors (see below), whose sum is σ = 16490000017920. Its totient is φ = 7277281214112.

The previous prime is 11023332113329. The next prime is 11023332113341. The reversal of 11023332113331 is 13331123332011.

11023332113331 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 3 + 3 + 321 + 1 + 3 + 331 = 666.

It is not a de Polignac number, because 11023332113331 - 21 = 11023332113329 is a prime.

It is a super-2 number, since 2×110233321133312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11023332113295 and 11023332113304.

It is not an unprimeable number, because it can be changed into a prime (11023332113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108193945 + ... + 108295781.

It is an arithmetic number, because the mean of its divisors is an integer number (515312500560).

Almost surely, 211023332113331 is an apocalyptic number.

11023332113331 is a deficient number, since it is larger than the sum of its proper divisors (5466667904589).

11023332113331 is a wasteful number, since it uses less digits than its factorization.

11023332113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140872 (or 140866 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11023332113331 its reverse (13331123332011), we get a palindrome (24354455445342).

The spelling of 11023332113331 in words is "eleven trillion, twenty-three billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 103 309 927 2781 38923 101837 116769 305511 350307 916533 1050921 2749599 4009069 10489211 12027207 31467633 36081621 94402899 108244863 283208697 3963801551 11891404653 35674213959 107022641877 408271559753 1224814679259 3674444037777 11023332113331