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12311022011321 = 1117772351267893
BaseRepresentation
bin1011001100100110001000…
…0110000000001110111001
31121120220220021212022122002
42303021202012000032321
53103200433113330241
642103334435110345
72410304413334555
oct263114206001671
947526807768562
1012311022011321
113a17090a83370
121469b604423b5
136b3c02b81887
14307bdc8c0865
1516538806a89b
hexb32621803b9

12311022011321 has 16 divisors (see below), whose sum is σ = 13443529575168. Its totient is φ = 11180740512000.

The previous prime is 12311022011297. The next prime is 12311022011359.

12311022011321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12311022011321 - 214 = 12311021994937 is a prime.

It is a super-2 number, since 2×123110220113212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12311022011293 and 12311022011302.

It is not an unprimeable number, because it can be changed into a prime (12311022311321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45821051 + ... + 46088943.

It is an arithmetic number, because the mean of its divisors is an integer number (840220598448).

Almost surely, 212311022011321 is an apocalyptic number.

12311022011321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311022011321 is a deficient number, since it is larger than the sum of its proper divisors (1132507563847).

12311022011321 is a wasteful number, since it uses less digits than its factorization.

12311022011321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272032.

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

It can be divided in two parts, 1231102 and 2011321, that added together give a palindrome (3242423).

The spelling of 12311022011321 in words is "twelve trillion, three hundred eleven billion, twenty-two million, eleven thousand, three hundred twenty-one".

Divisors: 1 11 1777 2351 19547 25861 267893 2946823 4177727 45954997 476045861 629816443 5236504471 6927980873 1119183819211 12311022011321