Search a number
-
+
30313002321 = 3273731741023
BaseRepresentation
bin11100001110110010…
…111011010101010001
32220020120021001211200
4130032302323111101
5444040112033241
621531532501413
72122120161030
oct341662732521
986216231750
1030313002321
1111945999338
125a5b91a869
132b21196184
141677c44717
15bc63554b6
hex70ecbb551

30313002321 has 48 divisors (see below), whose sum is σ = 51556337664. Its totient is φ = 16799985792.

The previous prime is 30313002301. The next prime is 30313002337. The reversal of 30313002321 is 12320031303.

30313002321 is a `hidden beast` number, since 30 + 313 + 0 + 0 + 2 + 321 = 666.

It is not a de Polignac number, because 30313002321 - 27 = 30313002193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30313002294 and 30313002303.

It is not an unprimeable number, because it can be changed into a prime (30313002301) 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, 718416 + ... + 759438.

It is an arithmetic number, because the mean of its divisors is an integer number (1074090368).

Almost surely, 230313002321 is an apocalyptic number.

It is an amenable number.

30313002321 is a deficient number, since it is larger than the sum of its proper divisors (21243335343).

30313002321 is a wasteful number, since it uses less digits than its factorization.

30313002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41390 (or 41387 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30313002321 its reverse (12320031303), we get a palindrome (42633033624).

The spelling of 30313002321 in words is "thirty billion, three hundred thirteen million, two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 317 333 777 951 2219 2331 2853 6657 11729 19971 35187 41023 82103 105561 123069 246309 287161 369207 738927 861483 1517851 2584449 4553553 10624957 13004291 13660659 31874871 39012873 91030037 95624613 117038619 273090111 481158767 819270333 1443476301 3368111369 4330428903 10104334107 30313002321