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12022133210031 = 371606935626519
BaseRepresentation
bin1010111011110001111011…
…1110101011101110101111
31120120022020010121200002010
42232330132332223232233
53033432312100210111
641322520341332303
72350366445131440
oct256743676535657
946508203550063
1012022133210031
11391561586511a
121421b78107093
136928b4012479
142d7c353172c7
1515cacb0b3aa6
hexaef1efabbaf

12022133210031 has 16 divisors (see below), whose sum is σ = 18320581644800. Its totient is φ = 6869362694688.

The previous prime is 12022133209951. The next prime is 12022133210057. The reversal of 12022133210031 is 13001233122021.

It is not a de Polignac number, because 12022133210031 - 214 = 12022133193647 is a prime.

It is a super-3 number, since 3×120221332100313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022133214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17475811 + ... + 18150708.

It is an arithmetic number, because the mean of its divisors is an integer number (1145036352800).

Almost surely, 212022133210031 is an apocalyptic number.

12022133210031 is a deficient number, since it is larger than the sum of its proper divisors (6298448434769).

12022133210031 is a wasteful number, since it uses less digits than its factorization.

12022133210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35642598.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12022133210031 its reverse (13001233122021), we get a palindrome (25023366332052).

The spelling of 12022133210031 in words is "twelve trillion, twenty-two billion, one hundred thirty-three million, two hundred ten thousand, thirty-one".

Divisors: 1 3 7 21 16069 48207 112483 337449 35626519 106879557 249385633 748156899 572482533811 1717447601433 4007377736677 12022133210031