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221342101243122 = 2383444462050689
BaseRepresentation
bin110010010100111100111001…
…010100011000010011110010
31002000201002122121100202122010
4302110330321110120103302
5213002432110404234442
62102431054011023350
764423303415564136
oct6224747124302362
91060632577322563
10221342101243122
1164587726858682
12209a96b9a3ab56
139667616b54212
143c9302cac93c6
151a8c939042b9c
hexc94f395184f2

221342101243122 has 16 divisors (see below), whose sum is σ = 448017747095520. Its totient is φ = 72891776312832.

The previous prime is 221342101243111. The next prime is 221342101243139.

221342101243122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 221342101243122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222231024847 + ... + 222231025842.

It is an arithmetic number, because the mean of its divisors is an integer number (28001109193470).

Almost surely, 2221342101243122 is an apocalyptic number.

221342101243122 is an abundant number, since it is smaller than the sum of its proper divisors (226675645852398).

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

221342101243122 is a wasteful number, since it uses less digits than its factorization.

221342101243122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444462050777.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 22134210 and 1243122, that added together give a palindrome (23377332).

The spelling of 221342101243122 in words is "two hundred twenty-one trillion, three hundred forty-two billion, one hundred one million, two hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 83 166 249 498 444462050689 888924101378 1333386152067 2666772304134 36890350207187 73780700414374 110671050621561 221342101243122