Search a number
-
+
213414145236 = 22326271945331
BaseRepresentation
bin1100011011000001111…
…0010110110011010100
3202101212012100212102100
43012300132112303110
511444033010121421
6242012513442100
721263413206105
oct3066036266324
9671765325370
10213414145236
11825657a3046
123543bb70330
1317181445a16
14a4878543ac
155840e30c26
hex31b0796cd4

213414145236 has 36 divisors (see below), whose sum is σ = 539550129664. Its totient is φ = 71126629200.

The previous prime is 213414145229. The next prime is 213414145249. The reversal of 213414145236 is 632541414312.

213414145236 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 414 + 5 + 236 = 666.

213414145236 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213414145236.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 246910 + ... + 698421.

Almost surely, 2213414145236 is an apocalyptic number.

It is an amenable number.

213414145236 is an abundant number, since it is smaller than the sum of its proper divisors (326135984428).

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

213414145236 is a wasteful number, since it uses less digits than its factorization.

213414145236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951612 (or 951607 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 213414145236 its reverse (632541414312), we get a palindrome (845955559548).

The spelling of 213414145236 in words is "two hundred thirteen billion, four hundred fourteen million, one hundred forty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 6271 12542 18813 25084 37626 56439 75252 112878 225756 945331 1890662 2835993 3781324 5671986 8507979 11343972 17015958 34031916 5928170701 11856341402 17784512103 23712682804 35569024206 53353536309 71138048412 106707072618 213414145236