Search a number
-
+
11200023219 = 3711101480049
BaseRepresentation
bin10100110111001001…
…01100101010110011
31001220112211010111210
422123210230222303
5140414201220334
65051211211203
7544355424630
oct123344545263
931815733453
1011200023219
114828137240
122206a46b03
1310964bc398
1478369b187
154584005e9
hex29b92cab3

11200023219 has 32 divisors (see below), whose sum is σ = 18802598400. Its totient is φ = 5760576000.

The previous prime is 11200023151. The next prime is 11200023221. The reversal of 11200023219 is 91232000211.

It is not a de Polignac number, because 11200023219 - 211 = 11200021171 is a prime.

It is a super-2 number, since 2×112000232192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11200023195 and 11200023204.

It is not an unprimeable number, because it can be changed into a prime (11200023299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216694 + ... + 263355.

It is an arithmetic number, because the mean of its divisors is an integer number (587581200).

Almost surely, 211200023219 is an apocalyptic number.

11200023219 is a deficient number, since it is larger than the sum of its proper divisors (7602575181).

11200023219 is a wasteful number, since it uses less digits than its factorization.

11200023219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480171.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 11200023219 in words is "eleven billion, two hundred million, twenty-three thousand, two hundred nineteen".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 23331 480049 1440147 3360343 5280539 10081029 15841617 36963773 48484949 110891319 145454847 339394643 533334439 1018183929 1600003317 3733341073 11200023219