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221665142420001 = 32724809141823303
BaseRepresentation
bin110010011001101001110000…
…000100101011001000100001
31002001211222110220022212000200
4302121221300010223020201
5213023230202424420001
62103235321032335413
764455530604355350
oct6231516004531041
91061758426285020
10221665142420001
11646a1728109115
1220a40233844569
13968bc1942b3a7
143ca4915d97997
151a96044447086
hexc99a7012b221

221665142420001 has 24 divisors (see below), whose sum is σ = 365938161912960. Its totient is φ = 126660689136576.

The previous prime is 221665142419969. The next prime is 221665142420023. The reversal of 221665142420001 is 100024241566122.

221665142420001 is a `hidden beast` number, since 2 + 2 + 166 + 51 + 424 + 20 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 221665142420001 - 25 = 221665142419969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221665142420101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69348685 + ... + 72474618.

It is an arithmetic number, because the mean of its divisors is an integer number (15247423413040).

Almost surely, 2221665142420001 is an apocalyptic number.

221665142420001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221665142420001 is a deficient number, since it is larger than the sum of its proper divisors (144273019492959).

221665142420001 is a wasteful number, since it uses less digits than its factorization.

221665142420001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141848125 (or 141848122 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 221665142420001 its reverse (100024241566122), we get a palindrome (321689383986123).

The spelling of 221665142420001 in words is "two hundred twenty-one trillion, six hundred sixty-five billion, one hundred forty-two million, four hundred twenty thousand, one".

Divisors: 1 3 7 9 21 63 24809 74427 173663 223281 520989 1562967 141823303 425469909 992763121 1276409727 2978289363 8934868089 3518494324127 10555482972381 24629460268889 31666448917143 73888380806667 221665142420001