Search a number
-
+
21332013201 = 331257762819
BaseRepresentation
bin10011110111011111…
…001011000010010001
32001001122221112212000
4103313133023002101
5322141443410301
613444431024213
71353425056212
oct236737130221
961048845760
1021332013201
119057402284
12417406b069
13201c641025
14106517b409
1584cb81786
hex4f77cb091

21332013201 has 16 divisors (see below), whose sum is σ = 31605998400. Its totient is φ = 14219985024.

The previous prime is 21332013191. The next prime is 21332013223. The reversal of 21332013201 is 10231023312.

21332013201 is a `hidden beast` number, since 21 + 3 + 320 + 1 + 320 + 1 = 666.

It is not a de Polignac number, because 21332013201 - 211 = 21332011153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21332013271) 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, 308170 + ... + 370988.

It is an arithmetic number, because the mean of its divisors is an integer number (1975374900).

Almost surely, 221332013201 is an apocalyptic number.

It is an amenable number.

21332013201 is a deficient number, since it is larger than the sum of its proper divisors (10273985199).

21332013201 is a wasteful number, since it uses less digits than its factorization.

21332013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75405 (or 75399 counting only the distinct ones).

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

Adding to 21332013201 its reverse (10231023312), we get a palindrome (31563036513).

The spelling of 21332013201 in words is "twenty-one billion, three hundred thirty-two million, thirteen thousand, two hundred one".

Divisors: 1 3 9 27 12577 37731 62819 113193 188457 339579 565371 1696113 790074563 2370223689 7110671067 21332013201