Search a number
-
+
122102202001 = 13227271152681
BaseRepresentation
bin111000110110111011…
…0111011111010010001
3102200011111211112111211
41301231312323322101
54000031130431001
6132032025540121
711551543410133
oct1615566737221
9380144745454
10122102202001
114786856764a
121b7b7944641
13b68b896590
145ca4607053
153299805351
hex1c6ddbbe91

122102202001 has 16 divisors (see below), whose sum is σ = 132562176768. Its totient is φ = 111798403200.

The previous prime is 122102201987. The next prime is 122102202031. The reversal of 122102202001 is 100202201221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122102202001 - 211 = 122102199953 is a prime.

It is a super-3 number, since 3×1221022020013 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122102202031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723381 + ... + 876061.

It is an arithmetic number, because the mean of its divisors is an integer number (8285136048).

Almost surely, 2122102202001 is an apocalyptic number.

It is an amenable number.

122102202001 is a deficient number, since it is larger than the sum of its proper divisors (10459974767).

122102202001 is a wasteful number, since it uses less digits than its factorization.

122102202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153192.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122102202001 its reverse (100202201221), we get a palindrome (222304403222).

The spelling of 122102202001 in words is "one hundred twenty-two billion, one hundred two million, two hundred two thousand, one".

Divisors: 1 13 227 271 2951 3523 61517 152681 799721 1984853 34658587 41376551 450561631 537895163 9392477077 122102202001