Search a number
-
+
211231112201 = 4723325317621
BaseRepresentation
bin1100010010111001011…
…0101111110000001001
3202012020001121022001222
43010232112233300021
511430100131042301
6241012131451425
721155334554234
oct3045626576011
9665201538058
10211231112201
118164550200a
1234b30a56b75
1316bc40a50b5
14a31b95241b
15576446631b
hex312e5afc09

211231112201 has 16 divisors (see below), whose sum is σ = 216765289728. Its totient is φ = 205741219200.

The previous prime is 211231112173. The next prime is 211231112219. The reversal of 211231112201 is 102211132112.

It is a happy number.

211231112201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211231112201 - 230 = 210157370377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211231112201.

It is not an unprimeable number, because it can be changed into a prime (211231142201) 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 15 ways as a sum of consecutive naturals, for example, 27713171 + ... + 27720791.

It is an arithmetic number, because the mean of its divisors is an integer number (13547830608).

Almost surely, 2211231112201 is an apocalyptic number.

It is an amenable number.

211231112201 is a deficient number, since it is larger than the sum of its proper divisors (5534177527).

211231112201 is a wasteful number, since it uses less digits than its factorization.

211231112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211231112201 its reverse (102211132112), we get a palindrome (313442244313).

The spelling of 211231112201 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred twelve thousand, two hundred one".

Divisors: 1 47 233 2531 7621 10951 118957 358187 589723 1775693 19288751 27716981 83457571 906571297 4494278983 211231112201