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12233212110031 = 1119145219403061
BaseRepresentation
bin1011001000000100010001…
…0000110010010011001111
31121022111001120210210021011
42302001010100302103033
53100412104300010111
642003505434550051
72401551254153443
oct262010420622317
947274046723234
1012233212110031
113997092353920
121456a65b98327
136a97826c2773
1430413a966823
15163331eb0021
hexb20444324cf

12233212110031 has 16 divisors (see below), whose sum is σ = 14047839273600. Its totient is φ = 10535682074400.

The previous prime is 12233212109983. The next prime is 12233212110047. The reversal of 12233212110031 is 13001121233221.

It is a cyclic number.

It is not a de Polignac number, because 12233212110031 - 225 = 12233178555599 is a prime.

It is a super-2 number, since 2×122332121100312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233212109984 and 12233212110011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233212110071) 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, 30149241 + ... + 30552301.

It is an arithmetic number, because the mean of its divisors is an integer number (877989954600).

Almost surely, 212233212110031 is an apocalyptic number.

12233212110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12233212110031 is a deficient number, since it is larger than the sum of its proper divisors (1814627163569).

12233212110031 is a wasteful number, since it uses less digits than its factorization.

12233212110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548310.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12233212110031 its reverse (13001121233221), we get a palindrome (25234333343252).

The spelling of 12233212110031 in words is "twelve trillion, two hundred thirty-three billion, two hundred twelve million, one hundred ten thousand, thirty-one".

Divisors: 1 11 19 209 145219 403061 1597409 2759161 4433671 7658159 30350771 84239749 58532115359 643853268949 1112110191821 12233212110031