Search a number
-
+
11314000219 = 233124165843
BaseRepresentation
bin10101000100101110…
…11111000101011011
31002012111021202120011
422202113133011123
5141132341001334
65110402142351
7550241262244
oct124227370533
932174252504
1011314000219
114886504905
1222390519b7
1310b3cb79b2
14794889ccb
15463416564
hex2a25df15b

11314000219 has 16 divisors (see below), whose sum is σ = 12237502464. Its totient is φ = 10429372800.

The previous prime is 11314000147. The next prime is 11314000249. The reversal of 11314000219 is 91200041311.

It is a cyclic number.

It is not a de Polignac number, because 11314000219 - 29 = 11313999707 is a prime.

It is a super-2 number, since 2×113140002192 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11314000219.

It is not an unprimeable number, because it can be changed into a prime (11314000249) 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, 138912 + ... + 204754.

It is an arithmetic number, because the mean of its divisors is an integer number (764843904).

Almost surely, 211314000219 is an apocalyptic number.

11314000219 is a deficient number, since it is larger than the sum of its proper divisors (923502245).

11314000219 is a wasteful number, since it uses less digits than its factorization.

11314000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66138.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 11314000219 in words is "eleven billion, three hundred fourteen million, two hundred nineteen", and thus it is an aban number.

Divisors: 1 23 31 241 713 5543 7471 65843 171833 1514389 2041133 15868163 46946059 364967749 491913053 11314000219