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1323222132102 = 2313217252130449
BaseRepresentation
bin10011010000010110001…
…011110110010110000110
311200111110121212222202220
4103100112023312112012
5133134424331211402
62451514014313210
7164412451354413
oct23202613662606
94614417788686
101323222132102
114701a2440802
121945484b8806
1397a191bc600
144808977b10a
15246479b1dbc
hex134162f6586

1323222132102 has 96 divisors (see below), whose sum is σ = 3035548807200. Its totient is φ = 383030968320.

The previous prime is 1323222132091. The next prime is 1323222132103. The reversal of 1323222132102 is 2012312223231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323222132103) 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 47 ways as a sum of consecutive naturals, for example, 43441774 + ... + 43472222.

It is an arithmetic number, because the mean of its divisors is an integer number (31620300075).

Almost surely, 21323222132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323222132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517774403600).

1323222132102 is an abundant number, since it is smaller than the sum of its proper divisors (1712326675098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1323222132102 is a wasteful number, since it uses less digits than its factorization.

1323222132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33018 (or 33005 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1323222132102 its reverse (2012312223231), we get a palindrome (3335534355333).

The spelling of 1323222132102 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2521 2873 5042 5746 7563 8619 15126 17238 30449 32773 42857 60898 65546 85714 91347 98319 128571 182694 196638 257142 395837 426049 517633 557141 791674 852098 1035266 1114282 1187511 1278147 1552899 1671423 2375022 2556294 3105798 3342846 5145881 6729229 7242833 10291762 13458458 14485666 15437643 20187687 21728499 30875286 40375374 43456998 76761929 87479977 153523858 174959954 230285787 262439931 460571574 524879862 997905077 1304952793 1995810154 2609905586 2993715231 3914858379 5987430462 7829716758 12972766001 16964386309 25945532002 33928772618 38918298003 50893158927 77836596006 101786317854 220537022017 441074044034 661611066051 1323222132102