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1321322002033 = 111746371523807
BaseRepresentation
bin10011001110100100111…
…011011011011001110001
311200022120012110101100011
4103032210323123121301
5133122031413031113
62451001300054521
7164314406463535
oct23164473333161
94608505411304
101321322002033
1146a407906980
121940b8094441
13977a56417a7
1447d4927bbc5
1524585c7a63d
hex133a4edb671

1321322002033 has 16 divisors (see below), whose sum is σ = 1526563044864. Its totient is φ = 1130298338560.

The previous prime is 1321322002009. The next prime is 1321322002051. The reversal of 1321322002033 is 3302002231231.

It is a cyclic number.

It is not a de Polignac number, because 1321322002033 - 213 = 1321321993841 is a prime.

It is a super-2 number, since 2×13213220020332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321322001995 and 1321322002013.

It is not an unprimeable number, because it can be changed into a prime (1321322092033) 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 15 ways as a sum of consecutive naturals, for example, 105216 + ... + 1629022.

It is an arithmetic number, because the mean of its divisors is an integer number (95410190304).

Almost surely, 21321322002033 is an apocalyptic number.

It is an amenable number.

1321322002033 is a deficient number, since it is larger than the sum of its proper divisors (205241042831).

1321322002033 is a wasteful number, since it uses less digits than its factorization.

1321322002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528472.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1321322002033 its reverse (3302002231231), we get a palindrome (4623324233264).

The spelling of 1321322002033 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-two million, two thousand, thirty-three".

Divisors: 1 11 17 187 4637 51007 78829 867119 1523807 16761877 25904719 284951909 7065893059 77724823649 120120182003 1321322002033