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221433141334122 = 23212301841185229
BaseRepresentation
bin110010010110010001101011…
…101110110001000001101010
31002001000210122100100120101100
4302112101223232301001222
5213010430033140142442
62102540551504102230
764433005444566024
oct6226215356610152
91061023570316340
10221433141334122
11646122a4595503
1220a03287004976
1396730952ac753
143c975c7bad014
151a8eeb686e84c
hexc9646bbb106a

221433141334122 has 12 divisors (see below), whose sum is σ = 479771806223970. Its totient is φ = 73811047111368.

The previous prime is 221433141334117. The next prime is 221433141334151.

221433141334122 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 314 + 1 + 334 + 1 + 2 + 2 = 666.

221433141334122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 152140852342521 + 69292288991601 = 12334539^2 + 8324199^2 .

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 5 ways as a sum of consecutive naturals, for example, 6150920592597 + ... + 6150920592632.

Almost surely, 2221433141334122 is an apocalyptic number.

221433141334122 is an abundant number, since it is smaller than the sum of its proper divisors (258338664889848).

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

221433141334122 is a wasteful number, since it uses less digits than its factorization.

221433141334122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12301841185237 (or 12301841185234 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 221433141334122 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, one hundred forty-one million, three hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12301841185229 24603682370458 36905523555687 73811047111374 110716570667061 221433141334122