Search a number
-
+
12101022122001 = 315170937677113
BaseRepresentation
bin1011000000010111110100…
…1000000000000000010001
31120211211212001000121211120
42300011331020000000101
53041230343130401001
641423044404432453
72356161415616361
oct260057510000021
946754761017746
1012101022122001
11394601857332a
1214353139a8729
1369a176bb3737
142db99a6a89a1
1515eb96c5b236
hexb017d200011

12101022122001 has 16 divisors (see below), whose sum is σ = 16264456571520. Its totient is φ = 8002618588800.

The previous prime is 12101022121963. The next prime is 12101022122003. The reversal of 12101022122001 is 10022122010121.

It is not a de Polignac number, because 12101022122001 - 210 = 12101022120977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12101022122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18517380 + ... + 19159733.

It is an arithmetic number, because the mean of its divisors is an integer number (1016528535720).

Almost surely, 212101022122001 is an apocalyptic number.

It is an amenable number.

12101022122001 is a deficient number, since it is larger than the sum of its proper divisors (4163434449519).

12101022122001 is a wasteful number, since it uses less digits than its factorization.

12101022122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37677976.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12101022122001 its reverse (10022122010121), we get a palindrome (22123144132122).

The spelling of 12101022122001 in words is "twelve trillion, one hundred one billion, twenty-two million, one hundred twenty-two thousand, one".

Divisors: 1 3 151 453 709 2127 107059 321177 37677113 113031339 5689244063 17067732189 26713073117 80139219351 4033674040667 12101022122001