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8001021357105 = 357274377146359
BaseRepresentation
bin111010001101110001000…
…0010010010110000110001
31001022220000221020201102020
41310123202002102300301
52022042042431411410
625003341331142053
71454024524260600
oct164334202226061
931286027221366
108001021357105
112605239a73a17
12a92799a44929
1346065439b38a
141d9374189a37
15dd1d1964a70
hex746e2092c31

8001021357105 has 48 divisors (see below), whose sum is σ = 14891998861440. Its totient is φ = 3657535596288.

The previous prime is 8001021357071. The next prime is 8001021357107. The reversal of 8001021357105 is 5017531201008.

It is not a de Polignac number, because 8001021357105 - 211 = 8001021355057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8001021357107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54593916 + ... + 54740274.

It is an arithmetic number, because the mean of its divisors is an integer number (310249976280).

Almost surely, 28001021357105 is an apocalyptic number.

It is an amenable number.

8001021357105 is a deficient number, since it is larger than the sum of its proper divisors (6890977504335).

8001021357105 is a wasteful number, since it uses less digits than its factorization.

8001021357105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220758 (or 220751 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 8001021357105 in words is "eight trillion, one billion, twenty-one million, three hundred fifty-seven thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 74377 146359 223131 371885 439077 520639 731795 1024513 1115655 1561917 2195385 2603195 3073539 3644473 5122565 7171591 7809585 10933419 15367695 18222365 21514773 35857955 54667095 107573865 10885743343 32657230029 54428716715 76200203401 163286150145 228600610203 381001017005 533401423807 1143003051015 1600204271421 2667007119035 8001021357105