Search a number
-
+
122100101010321 = 3722336113605741
BaseRepresentation
bin11011110000110010100101…
…001001011101001110010001
3121000022122200222100002021020
4123300302211021131032101
5112000442001324312241
61111404002333550053
734501304220221400
oct3360624511351621
9530278628302236
10122100101010321
11359a53a89716a5
121183b998945329
135318cb43a90a5
142221968155637
15e1b185671b66
hex6f0ca525d391

122100101010321 has 24 divisors (see below), whose sum is σ = 197613650620224. Its totient is φ = 66737943407520.

The previous prime is 122100101010289. The next prime is 122100101010331. The reversal of 122100101010321 is 123010101001221.

It is not a de Polignac number, because 122100101010321 - 25 = 122100101010289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122100101010321.

It is not an unprimeable number, because it can be changed into a prime (122100101010331) 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 23 ways as a sum of consecutive naturals, for example, 18056799490 + ... + 18056806251.

It is an arithmetic number, because the mean of its divisors is an integer number (8233902109176).

Almost surely, 2122100101010321 is an apocalyptic number.

It is an amenable number.

122100101010321 is a deficient number, since it is larger than the sum of its proper divisors (75513549609903).

122100101010321 is a wasteful number, since it uses less digits than its factorization.

122100101010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36113605781 (or 36113605774 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 122100101010321 its reverse (123010101001221), we get a palindrome (245110202011542).

The spelling of 122100101010321 in words is "one hundred twenty-two trillion, one hundred billion, one hundred one million, ten thousand, three hundred twenty-one".

Divisors: 1 3 7 21 23 49 69 147 161 483 1127 3381 36113605741 108340817223 252795240187 758385720561 830612932043 1769566681309 2491838796129 5308700043927 5814290524301 17442871572903 40700033670107 122100101010321