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983114206001 = 34923099121951
BaseRepresentation
bin11100100111001100010…
…11000100101100110001
310110222120220211012202022
432103212023010230301
5112101404214043001
62031345245201225
7131012325604634
oct16234613045461
93428526735668
10983114206001
11349a33380a44
1213a64ab60215
1371926b51065
14358239b5c1b
151a88e0ed11b
hexe4e62c4b31

983114206001 has 8 divisors (see below), whose sum is σ = 985981920000. Its totient is φ = 980246782800.

The previous prime is 983114205979. The next prime is 983114206003. The reversal of 983114206001 is 100602411389.

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 983114206001 - 218 = 983113943857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983114206003) 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, 8000576 + ... + 8122526.

It is an arithmetic number, because the mean of its divisors is an integer number (123247740000).

Almost surely, 2983114206001 is an apocalyptic number.

It is an amenable number.

983114206001 is a deficient number, since it is larger than the sum of its proper divisors (2867713999).

983114206001 is a wasteful number, since it uses less digits than its factorization.

983114206001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145399.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 983114206001 in words is "nine hundred eighty-three billion, one hundred fourteen million, two hundred six thousand, one".

Divisors: 1 349 23099 121951 8061551 42560899 2816946149 983114206001