Search a number
-
+
2002300334433 = 327971534921347
BaseRepresentation
bin11101001000110010011…
…001100111000101100001
321002102021202022221120200
4131020302121213011201
5230301202341200213
64131502153055413
7264442604011320
oct35106231470541
97072252287520
102002300334433
11702197380123
122840863b7569
13116a7bcc57c9
146ccaa1a80b7
153713ee18273
hex1d232667161

2002300334433 has 48 divisors (see below), whose sum is σ = 3339834825600. Its totient is φ = 1132249218048.

The previous prime is 2002300334401. The next prime is 2002300334477. The reversal of 2002300334433 is 3344330032002.

2002300334433 is a `hidden beast` number, since 20 + 0 + 2 + 300 + 334 + 4 + 3 + 3 = 666.

It is not a de Polignac number, because 2002300334433 - 25 = 2002300334401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002300334397 and 2002300334406.

It is not an unprimeable number, because it can be changed into a prime (2002300339433) 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, 93787066 + ... + 93808412.

It is an arithmetic number, because the mean of its divisors is an integer number (69579892200).

Almost surely, 22002300334433 is an apocalyptic number.

It is an amenable number.

2002300334433 is a deficient number, since it is larger than the sum of its proper divisors (1337534491167).

2002300334433 is a wasteful number, since it uses less digits than its factorization.

2002300334433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36806 (or 36803 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 2002300334433 its reverse (3344330032002), we get a palindrome (5346630366435).

The spelling of 2002300334433 in words is "two trillion, two billion, three hundred million, three hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 63 97 291 679 873 2037 6111 15349 21347 46047 64041 107443 138141 149429 192123 322329 448287 966987 1344861 1488853 2070659 4466559 6211977 10421971 13399677 14494613 18635931 31265913 43483839 93797739 130451517 327655103 982965309 2293585721 2948895927 6880757163 20642271489 31782544991 95347634973 222477814937 286042904919 667433444811 2002300334433