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221133303131 = 13162710454981
BaseRepresentation
bin1100110111110010010…
…0100110110101011011
3210010210011022201101012
43031330210212311123
512110340111200011
6245330502044135
721655614030446
oct3157444466533
9703704281335
10221133303131
1185866a91684
1236a3511964b
1317b11738080
14a9baad465d
155b43953a8b
hex337c926d5b

221133303131 has 8 divisors (see below), whose sum is σ = 238289949744. Its totient is φ = 203997569760.

The previous prime is 221133303107. The next prime is 221133303187. The reversal of 221133303131 is 131303331122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221133303131 - 210 = 221133302107 is a prime.

It is a super-3 number, since 3×2211333031313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221133303097 and 221133303106.

It is not an unprimeable number, because it can be changed into a prime (221133303431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5206340 + ... + 5248641.

It is an arithmetic number, because the mean of its divisors is an integer number (29786243718).

Almost surely, 2221133303131 is an apocalyptic number.

221133303131 is a deficient number, since it is larger than the sum of its proper divisors (17156646613).

221133303131 is a wasteful number, since it uses less digits than its factorization.

221133303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10456621.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 221133303131 its reverse (131303331122), we get a palindrome (352436634253).

The spelling of 221133303131 in words is "two hundred twenty-one billion, one hundred thirty-three million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 13 1627 21151 10454981 135914753 17010254087 221133303131