Search a number
-
+
11000202222113 = 132235791488689
BaseRepresentation
bin1010000000010010111100…
…1001010101101000100001
31102221121110000011121220022
42200010233021111220201
52420211403232101423
635221231221523225
72213511160064216
oct240045711255041
942847400147808
1011000202222113
11356118341a425
121297ab5573515
1361a4122a8900
142a05ac375b0d
15141219301dc8
hexa012f255a21

11000202222113 has 24 divisors (see below), whose sum is σ = 12431522972160. Its totient is φ = 9710856080640.

The previous prime is 11000202222103. The next prime is 11000202222131. The reversal of 11000202222113 is 31122220200011.

It is not a de Polignac number, because 11000202222113 - 26 = 11000202222049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000202222091 and 11000202222100.

It is not an unprimeable number, because it can be changed into a prime (11000202222103) 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 23 ways as a sum of consecutive naturals, for example, 22265273 + ... + 22753961.

It is an arithmetic number, because the mean of its divisors is an integer number (517980123840).

Almost surely, 211000202222113 is an apocalyptic number.

11000202222113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11000202222113 is a deficient number, since it is larger than the sum of its proper divisors (1431320750047).

11000202222113 is a wasteful number, since it uses less digits than its factorization.

11000202222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494529 (or 494516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11000202222113 its reverse (31122220200011), we get a palindrome (42122422422124).

The spelling of 11000202222113 in words is "eleven trillion, two hundred two million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 13 23 169 299 3887 5791 75283 133193 488689 978679 1731509 6352957 11239847 22509617 82588441 146118011 1899534143 2829997999 36789973987 65089953977 478269661831 846169401701 11000202222113