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12233100122131 = 719238333859279
BaseRepresentation
bin1011001000000011110110…
…0101100101100000010011
31121022110202210002012202011
42302000331211211200103
53100411342112402011
642003450354403351
72401545424242220
oct262007545454023
947273683065664
1012233100122131
113997035114739
121456a34590557
136a9765442635
14304129b34947
1516332723d621
hexb203d965813

12233100122131 has 16 divisors (see below), whose sum is σ = 14717132723200. Its totient is φ = 9933225835968.

The previous prime is 12233100122123. The next prime is 12233100122227. The reversal of 12233100122131 is 13122100133221.

It is a cyclic number.

It is not a de Polignac number, because 12233100122131 - 23 = 12233100122123 is a prime.

It is a super-2 number, since 2×122331001221312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12233100122531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240150 + ... + 5099428.

It is an arithmetic number, because the mean of its divisors is an integer number (919820795200).

Almost surely, 212233100122131 is an apocalyptic number.

12233100122131 is a deficient number, since it is larger than the sum of its proper divisors (2484032601069).

12233100122131 is a wasteful number, since it uses less digits than its factorization.

12233100122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883138.

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

Adding to 12233100122131 its reverse (13122100133221), we get a palindrome (25355200255352).

The spelling of 12233100122131 in words is "twelve trillion, two hundred thirty-three billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 19 133 23833 166831 452827 3169789 3859279 27014953 73326301 513284107 91978196407 643847374849 1747585731733 12233100122131