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42210033033101 = 611674494132409
BaseRepresentation
bin10011001100011110010100…
…00001100101111110001101
312112110020110202222102210112
421212033022001211332031
521013032121424024401
6225435004350045405
711614400652631133
oct1146171201457615
9175406422872715
1042210033033101
11124a41a126334a
1248987067a9865
131a72509932b7b
14a5cd9572b753
154d2ea6da43bb
hex2663ca065f8d

42210033033101 has 8 divisors (see below), whose sum is σ = 42902267379000. Its totient is φ = 41517807287040.

The previous prime is 42210033033073. The next prime is 42210033033151. The reversal of 42210033033101 is 10133033001224.

42210033033101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1313944083076 + 40896088950025 = 1146274^2 + 6395005^2 .

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 42210033033101 - 210 = 42210033032077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42210033033151) by changing a digit.

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, 8148185 + ... + 12280593.

It is an arithmetic number, because the mean of its divisors is an integer number (5362783422375).

Almost surely, 242210033033101 is an apocalyptic number.

It is an amenable number.

42210033033101 is a deficient number, since it is larger than the sum of its proper divisors (692234345899).

42210033033101 is a wasteful number, since it uses less digits than its factorization.

42210033033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299919.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 42210033033101 its reverse (10133033001224), we get a palindrome (52343066034325).

The spelling of 42210033033101 in words is "forty-two trillion, two hundred ten billion, thirty-three million, thirty-three thousand, one hundred one".

Divisors: 1 61 167449 4132409 10214389 252076949 691967754641 42210033033101