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42221323121 = 891489318601
BaseRepresentation
bin100111010100100101…
…100100001101110001
311000222110212102222012
4213110211210031301
51142432124314441
631221325252305
73023166216335
oct472445441561
9130873772865
1042221323121
11169a6921a7a
128223a04095
133c9b33b643
1420875d97c5
151171a169eb
hex9d4964371

42221323121 has 8 divisors (see below), whose sum is σ = 42724528200. Its totient is φ = 41718758400.

The previous prime is 42221323103. The next prime is 42221323127. The reversal of 42221323121 is 12132312224.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 42215866225 = 2336^2 + 205465^2 .

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 42221323121 - 210 = 42221322097 is a prime.

It is a super-4 number, since 4×422213231214 (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42221323127) 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 7 ways as a sum of consecutive naturals, for example, 26780 + ... + 291821.

It is an arithmetic number, because the mean of its divisors is an integer number (5340566025).

Almost surely, 242221323121 is an apocalyptic number.

It is an amenable number.

42221323121 is a deficient number, since it is larger than the sum of its proper divisors (503205079).

42221323121 is a wasteful number, since it uses less digits than its factorization.

42221323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320179.

The product of its digits is 1152, while the sum is 23.

Adding to 42221323121 its reverse (12132312224), we get a palindrome (54353635345).

The spelling of 42221323121 in words is "forty-two billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 89 1489 132521 318601 28355489 474396889 42221323121