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123201013985 = 573520028971
BaseRepresentation
bin111001010111101011…
…0100100100011100001
3102210000002102222011222
41302233112210203201
54004303424421420
6132333041144425
711621015224460
oct1625726444341
9383002388158
10123201013985
1148281840325
121ba6392b115
13b80541c59a
145d6a5169d7
153311004225
hex1caf5a48e1

123201013985 has 8 divisors (see below), whose sum is σ = 168961390656. Its totient is φ = 84480695280.

The previous prime is 123201013951. The next prime is 123201013987. The reversal of 123201013985 is 589310102321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123201013985 - 220 = 123199965409 is a prime.

It is a super-3 number, since 3×1232010139853 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 3520028971 = 123201013985 / (1 + 2 + 3 + 2 + 0 + 1 + 0 + 1 + 3 + 9 + 8 + 5).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123201013987) 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, 1760014451 + ... + 1760014520.

It is an arithmetic number, because the mean of its divisors is an integer number (21120173832).

Almost surely, 2123201013985 is an apocalyptic number.

It is an amenable number.

123201013985 is a deficient number, since it is larger than the sum of its proper divisors (45760376671).

123201013985 is an equidigital number, since it uses as much as digits as its factorization.

123201013985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520028983.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 123201013985 in words is "one hundred twenty-three billion, two hundred one million, thirteen thousand, nine hundred eighty-five".

Divisors: 1 5 7 35 3520028971 17600144855 24640202797 123201013985