Search a number
-
+
2002032333213 = 311298941956099
BaseRepresentation
bin11101001000100010011…
…011010001000110011101
321002101121002001002000120
4131020202123101012131
5230300130234130323
64131415420545153
7264433141023543
oct35104233210635
97071532032016
102002032333213
1170206a071910
122840106b21b9
13116a3861c6c3
146cc82763d93
153712662a5e3
hex1d2226d119d

2002032333213 has 64 divisors (see below), whose sum is σ = 3053635200000. Its totient is φ = 1155564945920.

The previous prime is 2002032333179. The next prime is 2002032333221. The reversal of 2002032333213 is 3123332302002.

It is not a de Polignac number, because 2002032333213 - 214 = 2002032316829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002032333233) 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 63 ways as a sum of consecutive naturals, for example, 35659438 + ... + 35715536.

It is an arithmetic number, because the mean of its divisors is an integer number (47713050000).

Almost surely, 22002032333213 is an apocalyptic number.

It is an amenable number.

2002032333213 is a deficient number, since it is larger than the sum of its proper divisors (1051602866787).

2002032333213 is a wasteful number, since it uses less digits than its factorization.

2002032333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56650.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2002032333213 its reverse (3123332302002), we get a palindrome (5125364635215).

The spelling of 2002032333213 in words is "two trillion, two billion, thirty-two million, three hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 11 29 33 87 89 267 319 419 957 979 1257 2581 2937 4609 7743 12151 13827 28391 36453 37291 56099 85173 111873 133661 168297 400983 410201 617089 1081439 1230603 1626871 1851267 3244317 4880613 4992811 11895829 14978433 17895581 23505481 35687487 53686743 54920921 70516443 144791519 164762763 258560291 434374557 681658949 775680873 1592706709 2044976847 2091987809 4778120127 6275963427 7498248439 22494745317 23011865899 60667646461 69035597697 182002939383 667344111071 2002032333213