Search a number
-
+
221302013132322 = 23216921817265509
BaseRepresentation
bin110010010100010111100011…
…111000010111111000100010
31002000120021011210111201211200
4302110113203320113320202
5213001303010330213242
62102400424043422030
764420354121346423
oct6224274370277042
91060507153451750
10221302013132322
11645717250996a1
12209a1990524916
1396638c87618b5
143c9110894364a
151a8b88e95404c
hexc945e3e17e22

221302013132322 has 24 divisors (see below), whose sum is σ = 479488044469980. Its totient is φ = 73767283964640.

The previous prime is 221302013132311. The next prime is 221302013132329. The reversal of 221302013132322 is 223231310203122.

221302013132322 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 20 + 1 + 313 + 2 + 322 = 666.

221302013132322 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208082673355041 + 13219339777281 = 14425071^2 + 3635841^2 .

It is a super-2 number, since 2×2213020131323222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221302013132329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26826504 + ... + 34092012.

Almost surely, 2221302013132322 is an apocalyptic number.

221302013132322 is an abundant number, since it is smaller than the sum of its proper divisors (258186031337658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221302013132322 is a wasteful number, since it uses less digits than its factorization.

221302013132322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957698 (or 8957695 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221302013132322 its reverse (223231310203122), we get a palindrome (444533323335444).

The spelling of 221302013132322 in words is "two hundred twenty-one trillion, three hundred two billion, thirteen million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 1692181 3384362 5076543 7265509 10153086 14531018 15229629 21796527 30459258 43593054 65389581 130779162 12294556285129 24589112570258 36883668855387 73767337710774 110651006566161 221302013132322