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211132000242 = 232172467127967
BaseRepresentation
bin1100010010100001110…
…0101010011111110010
3202011222011002220000200
43010220130222133302
511424344243001432
6240554231300030
721153022251132
oct3045034523762
9664864086020
10211132000242
11815a45677a9
1234b0381a616
1316ba96b2877
14a30c712ac2
15575a8d9a7c
hex312872a7f2

211132000242 has 48 divisors (see below), whose sum is σ = 484398600192. Its totient is φ = 66232437120.

The previous prime is 211132000207. The next prime is 211132000307. The reversal of 211132000242 is 242000231112.

It is a happy number.

211132000242 is a `hidden beast` number, since 211 + 13 + 200 + 0 + 242 = 666.

211132000242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 7535343 + ... + 7563309.

It is an arithmetic number, because the mean of its divisors is an integer number (10091637504).

Almost surely, 2211132000242 is an apocalyptic number.

211132000242 is an abundant number, since it is smaller than the sum of its proper divisors (273266599950).

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

211132000242 is a wasteful number, since it uses less digits than its factorization.

211132000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52663 (or 52660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211132000242 its reverse (242000231112), we get a palindrome (453132231354).

The spelling of 211132000242 in words is "two hundred eleven billion, one hundred thirty-two million, two hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 24671 27967 49342 55934 74013 83901 148026 167802 222039 251703 419407 444078 475439 503406 838814 950878 1258221 1426317 2516442 2852634 3774663 4278951 7549326 8557902 689973857 1379947714 2069921571 4139843142 6209764713 11729555569 12419529426 23459111138 35188666707 70377333414 105566000121 211132000242