Search a number
-
+
11000010012201 = 3272191312807019
BaseRepresentation
bin1010000000010010001110…
…1100000111011000101001
31102221120221121111100110200
42200010203230013120221
52420211010030342301
635221200154102413
72213503334243400
oct240044354073051
942846847440420
1011000010012201
113561094978261
121297a6111aa09
1361a3b151b332
142a0590a20637
151412074d5c86
hexa0123b07629

11000010012201 has 36 divisors (see below), whose sum is σ = 19455800036400. Its totient is φ = 5954892633648.

The previous prime is 11000010012197. The next prime is 11000010012281. The reversal of 11000010012201 is 10221001000011.

It is a happy number.

It is not a de Polignac number, because 11000010012201 - 22 = 11000010012197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11000010012281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656395131 + ... + 656411888.

It is an arithmetic number, because the mean of its divisors is an integer number (540438889900).

Almost surely, 211000010012201 is an apocalyptic number.

It is an amenable number.

11000010012201 is a deficient number, since it is larger than the sum of its proper divisors (8455790024199).

11000010012201 is a wasteful number, since it uses less digits than its factorization.

11000010012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312807058 (or 1312807048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000010012201 its reverse (10221001000011), we get a palindrome (21221011012212).

The spelling of 11000010012201 in words is "eleven trillion, ten million, twelve thousand, two hundred one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 1312807019 3938421057 9189649133 11815263171 24943333361 27568947399 64327543931 74830000083 82706842197 174603333527 192982631793 224490000249 523810000581 578947895379 1222223334689 1571430001743 3666670004067 11000010012201