Search a number
-
+
122102120101 = 1317678246243
BaseRepresentation
bin111000110110111011…
…0100111111010100101
3102200011111200101011111
41301231312213322211
54000031120320401
6132032024105021
711551542616303
oct1615566477245
9380144611144
10122102120101
1147868511065
121b7b7905171
13b68b868210
145ca45c5273
1532997dae51
hex1c6dda7ea5

122102120101 has 16 divisors (see below), whose sum is σ = 141307637184. Its totient is φ = 104496378624.

The previous prime is 122102120093. The next prime is 122102120117. The reversal of 122102120101 is 101021201221.

It is a cyclic number.

It is not a de Polignac number, because 122102120101 - 23 = 122102120093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102120191) 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, 4108315 + ... + 4137928.

It is an arithmetic number, because the mean of its divisors is an integer number (8831727324).

Almost surely, 2122102120101 is an apocalyptic number.

It is an amenable number.

122102120101 is a deficient number, since it is larger than the sum of its proper divisors (19205517083).

122102120101 is a wasteful number, since it uses less digits than its factorization.

122102120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246340.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122102120101 its reverse (101021201221), we get a palindrome (223123321322).

The spelling of 122102120101 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred one".

Divisors: 1 13 17 67 221 871 1139 14807 8246243 107201159 140186131 552498281 1822419703 7182477653 9392470777 122102120101