Search a number
-
+
122100002001 = 3247601480287
BaseRepresentation
bin111000110110110111…
…0100010110011010001
3102200011100200202200100
41301231232202303101
54000030100031001
6132031510443013
711551515615135
oct1615556426321
9380140622610
10122100002001
11478672a476a
121b7b7063469
13b68b2a60c3
145ca41d33c5
15329951d586
hex1c6dba2cd1

122100002001 has 24 divisors (see below), whose sum is σ = 180419226624. Its totient is φ = 79535361600.

The previous prime is 122100001993. The next prime is 122100002047. The reversal of 122100002001 is 100200001221.

It is not a de Polignac number, because 122100002001 - 23 = 122100001993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122100003001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14080 + ... + 494366.

It is an arithmetic number, because the mean of its divisors is an integer number (7517467776).

Almost surely, 2122100002001 is an apocalyptic number.

It is an amenable number.

122100002001 is a deficient number, since it is larger than the sum of its proper divisors (58319224623).

122100002001 is a wasteful number, since it uses less digits than its factorization.

122100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480941 (or 480938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122100002001 its reverse (100200001221), we get a palindrome (222300003222).

The spelling of 122100002001 in words is "one hundred twenty-two billion, one hundred million, two thousand, one".

Divisors: 1 3 9 47 141 423 601 1803 5409 28247 84741 254223 480287 1440861 4322583 22573489 67720467 203161401 288652487 865957461 2597872383 13566666889 40700000667 122100002001