Search a number
-
+
11000212321 = 721713205537
BaseRepresentation
bin10100011111010100…
…11110101101100001
31001101121211200111011
422033222132231201
5140012023243241
65015312420521
7536411155600
oct121752365541
931347750434
1011000212321
11473537336a
12216bb47741
131063ca0197
14764d27a37
15445ad2281
hex28fa9eb61

11000212321 has 12 divisors (see below), whose sum is σ = 13548881988. Its totient is φ = 8874120192.

The previous prime is 11000212309. The next prime is 11000212373. The reversal of 11000212321 is 12321200011.

It can be written as a sum of positive squares in 2 ways, for example, as 3310851600 + 7689360721 = 57540^2 + 87689^2 .

It is not a de Polignac number, because 11000212321 - 213 = 11000204129 is a prime.

It is a super-2 number, since 2×110002123212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000210321) 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 11 ways as a sum of consecutive naturals, for example, 6601936 + ... + 6603601.

It is an arithmetic number, because the mean of its divisors is an integer number (1129073499).

Almost surely, 211000212321 is an apocalyptic number.

It is an amenable number.

11000212321 is a deficient number, since it is larger than the sum of its proper divisors (2548669667).

11000212321 is a wasteful number, since it uses less digits than its factorization.

11000212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13205568 (or 13205561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11000212321 its reverse (12321200011), we get a palindrome (23321412332).

The spelling of 11000212321 in words is "eleven billion, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 7 17 49 119 833 13205537 92438759 224494129 647071313 1571458903 11000212321