Search a number
-
+
30313013133213 = 336719187731827
BaseRepresentation
bin1101110010001110011000…
…11000010011111110011101
310222022220012000010110002000
412321013030120103332131
512433122022330230323
6144245334520552513
76246020503205466
oct671071430237635
9128286160113060
1030313013133213
1197277497229a8
123496a46922739
1313bb67428a585
1476b22c8b5d6d
1537879eb30e43
hex1b91cc613f9d

30313013133213 has 32 divisors (see below), whose sum is σ = 45817069854720. Its totient is φ = 19802827764720.

The previous prime is 30313013133209. The next prime is 30313013133239. The reversal of 30313013133213 is 31233131031303.

30313013133213 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 301 + 31 + 3 + 321 + 3 = 666.

It is not a de Polignac number, because 30313013133213 - 22 = 30313013133209 is a prime.

It is a super-3 number, since 3×303130131332133 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30313013133253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43520395 + ... + 44211432.

It is an arithmetic number, because the mean of its divisors is an integer number (1431783432960).

Almost surely, 230313013133213 is an apocalyptic number.

It is an amenable number.

30313013133213 is a deficient number, since it is larger than the sum of its proper divisors (15504056721507).

30313013133213 is a wasteful number, since it uses less digits than its factorization.

30313013133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87732094 (or 87732088 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 30313013133213 its reverse (31233131031303), we get a palindrome (61546144164516).

The spelling of 30313013133213 in words is "thirty trillion, three hundred thirteen billion, thirteen million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 67 191 201 573 603 1719 1809 5157 12797 38391 115173 345519 87731827 263195481 789586443 2368759329 5878032409 16756778957 17634097227 50270336871 52902291681 150811010613 158706875043 452433031839 1122704190119 3368112570357 10104337711071 30313013133213