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42122114401 = 103607967273
BaseRepresentation
bin100111001110101011…
…000111010101100001
311000201120012010012011
4213032223013111201
51142231230130101
631203423032521
73020553031153
oct471653072541
9130646163164
1042122114401
1116955920aa4
1281b673b741
133c83914063
142078372ad3
151167e6b751
hex9ceac7561

42122114401 has 8 divisors (see below), whose sum is σ = 42538695680. Its totient is φ = 41705680032.

The previous prime is 42122114399. The next prime is 42122114423. The reversal of 42122114401 is 10441122124.

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 42122114401 - 21 = 42122114399 is a prime.

It is a super-2 number, since 2×421221144012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42122114501) 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 7 ways as a sum of consecutive naturals, for example, 592501 + ... + 659773.

It is an arithmetic number, because the mean of its divisors is an integer number (5317336960).

Almost surely, 242122114401 is an apocalyptic number.

It is an amenable number.

42122114401 is a deficient number, since it is larger than the sum of its proper divisors (416581279).

42122114401 is a wasteful number, since it uses less digits than its factorization.

42122114401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73455.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 42122114401 its reverse (10441122124), we get a palindrome (52563236525).

The spelling of 42122114401 in words is "forty-two billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred one".

Divisors: 1 103 6079 67273 626137 6929119 408952567 42122114401