Search a number
-
+
21332200113 = 327379151523
BaseRepresentation
bin10011110111011111…
…111000101010110001
32001001200022001020200
4103313133320222301
5322142020400423
613444435025413
71353426465150
oct236737705261
961050261220
1021332200113
11905751a754
12417413b269
13201c6a8123
1410651c9597
1584cbbbd43
hex4f77f8ab1

21332200113 has 24 divisors (see below), whose sum is σ = 36166822848. Its totient is φ = 11860372512.

The previous prime is 21332200093. The next prime is 21332200207. The reversal of 21332200113 is 31100223312.

21332200113 is a `hidden beast` number, since 21 + 332 + 200 + 113 = 666.

It is not a de Polignac number, because 21332200113 - 218 = 21331937969 is a prime.

It is a super-2 number, since 2×213322001132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21332200913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4573431 + ... + 4578092.

It is an arithmetic number, because the mean of its divisors is an integer number (1506950952).

Almost surely, 221332200113 is an apocalyptic number.

It is an amenable number.

21332200113 is a deficient number, since it is larger than the sum of its proper divisors (14834622735).

21332200113 is a wasteful number, since it uses less digits than its factorization.

21332200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151573 (or 9151570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21332200113 its reverse (31100223312), we get a palindrome (52432423425).

It can be divided in two parts, 21332 and 200113, that added together give a triangular number (221445 = T665).

The spelling of 21332200113 in words is "twenty-one billion, three hundred thirty-two million, two hundred thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 9151523 27454569 64060661 82363707 192181983 338606351 576545949 1015819053 2370244457 3047457159 7110733371 21332200113