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133112010132001 = 1572095494046057
BaseRepresentation
bin11110010001000010001110…
…000101000100101000100001
3122110022101100212002211022101
4132101002032011010220201
5114421401344043211001
61151034451355210401
740016011462320265
oct3621021605045041
9573271325084271
10133112010132001
1139460539550a2a
1212b19bbaa46a01
135937540b95cb4
1424c29272100a5
15105c8375e9a01
hex79108e144a21

133112010132001 has 8 divisors (see below), whose sum is σ = 133960529716200. Its totient is φ = 132263499059328.

The previous prime is 133112010131987. The next prime is 133112010132043. The reversal of 133112010132001 is 100231010211331.

It can be written as a sum of positive squares in 4 ways, for example, as 55177560985600 + 77934449146401 = 7428160^2 + 8828049^2 .

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 133112010132001 - 223 = 133112001743393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133112010132001.

It is not an unprimeable number, because it can be changed into a prime (133112010132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30876165 + ... + 34922221.

It is an arithmetic number, because the mean of its divisors is an integer number (16745066214525).

Almost surely, 2133112010132001 is an apocalyptic number.

It is an amenable number.

133112010132001 is a deficient number, since it is larger than the sum of its proper divisors (848519584199).

133112010132001 is a wasteful number, since it uses less digits than its factorization.

133112010132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255763.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 133112010132001 its reverse (100231010211331), we get a palindrome (233343020343332).

The spelling of 133112010132001 in words is "one hundred thirty-three trillion, one hundred twelve billion, ten million, one hundred thirty-two thousand, one".

Divisors: 1 157 209549 4046057 32899193 635230949 847847198293 133112010132001