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122102120099 = 2294919671123
BaseRepresentation
bin111000110110111011…
…0100111111010100011
3102200011111200101011102
41301231312213322203
54000031120320344
6132032024105015
711551542616301
oct1615566477243
9380144611142
10122102120099
1147868511063
121b7b790516b
13b68b86820b
145ca45c5271
1532997dae4e
hex1c6dda7ea3

122102120099 has 16 divisors (see below), whose sum is σ = 123121701120. Its totient is φ = 121087945440.

The previous prime is 122102120093. The next prime is 122102120117. The reversal of 122102120099 is 990021201221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122102120099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122102120093) 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, 108727952 + ... + 108729074.

It is an arithmetic number, because the mean of its divisors is an integer number (7695106320).

Almost surely, 2122102120099 is an apocalyptic number.

122102120099 is a deficient number, since it is larger than the sum of its proper divisors (1019581021).

122102120099 is a wasteful number, since it uses less digits than its factorization.

122102120099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 122102120099 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, ninety-nine".

Divisors: 1 229 491 967 1123 112439 221443 257167 474797 551393 1085941 108728513 126268997 248680489 533197031 122102120099