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221024320244001 = 332367279286429
BaseRepresentation
bin110010010000010100111100…
…000110000100100100100001
31001222120201101220100101121000
4302100110330012010210201
5212432230301440302001
62102025100533222213
764361323461632061
oct6220247406044441
91058521356311530
10221024320244001
116447498475a58a
1220957bb1791969
1396436722a2a71
143c818c42873a1
151a8453a839a86
hexc9053c184921

221024320244001 has 48 divisors (see below), whose sum is σ = 346855931049600. Its totient is φ = 138839415507936.

The previous prime is 221024320243981. The next prime is 221024320244027. The reversal of 221024320244001 is 100442023420122.

It is a happy number.

221024320244001 is a `hidden beast` number, since 2 + 2 + 10 + 2 + 4 + 3 + 202 + 440 + 0 + 1 = 666.

It is not a de Polignac number, because 221024320244001 - 211 = 221024320241953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221024320234001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36855546 + ... + 42430883.

It is an arithmetic number, because the mean of its divisors is an integer number (7226165230200).

Almost surely, 2221024320244001 is an apocalyptic number.

It is an amenable number.

221024320244001 is a deficient number, since it is larger than the sum of its proper divisors (125831610805599).

221024320244001 is an equidigital number, since it uses as much as digits as its factorization.

221024320244001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79286595 (or 79286522 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221024320244001 its reverse (100442023420122), we get a palindrome (321466343664123).

The spelling of 221024320244001 in words is "two hundred twenty-one trillion, twenty-four billion, three hundred twenty million, two hundred forty-four thousand, one".

Divisors: 1 3 9 23 27 67 69 201 207 603 621 1541 1809 4489 4623 13467 13869 40401 41607 103247 121203 309741 929223 2787669 79286429 237859287 713577861 1823587867 2140733583 5312190743 5470763601 15936572229 16412290803 47809716687 49236872409 122180387089 143429150061 355916779781 366541161267 1067750339343 1099623483801 3203251018029 3298870451403 8186085934963 9609753054087 24558257804889 73674773414667 221024320244001