Search a number
-
+
122100200209 = 1366221141833
BaseRepresentation
bin111000110110110111…
…1010011001100010001
3102200011101001211120101
41301231233103030101
54000030122401314
6132031515012401
711551520402041
oct1615557231421
9380141054511
10122100200209
114786741a679
121b7b713a101
13b68b3453a0
145ca4245721
15329955c174
hex1c6dbd3311

122100200209 has 8 divisors (see below), whose sum is σ = 131495436072. Its totient is φ = 112705380480.

The previous prime is 122100200171. The next prime is 122100200249. The reversal of 122100200209 is 902002001221.

It can be written as a sum of positive squares in 4 ways, for example, as 39492817984 + 82607382225 = 198728^2 + 287415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122100200209 - 27 = 122100200081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122100200249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789957 + ... + 931789.

It is an arithmetic number, because the mean of its divisors is an integer number (16436929509).

Almost surely, 2122100200209 is an apocalyptic number.

It is an amenable number.

122100200209 is a deficient number, since it is larger than the sum of its proper divisors (9395235863).

122100200209 is a wasteful number, since it uses less digits than its factorization.

122100200209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208067.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 122100200209 in words is "one hundred twenty-two billion, one hundred million, two hundred thousand, two hundred nine".

Divisors: 1 13 66221 141833 860873 1843829 9392323093 122100200209