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122313132301 = 192338817541
BaseRepresentation
bin111000111101001101…
…1100100100100001101
3102200201012201220111011
41301322123210210031
54000444130213201
6132105002525221
711560014320233
oct1617233444415
9380635656434
10122313132301
1147966635708
121b856506811
13b6c34a99c9
145cc4632953
1532ad0bd151
hex1c7a6e490d

122313132301 has 6 divisors (see below), whose sum is σ = 129089483502. Its totient is φ = 115875598680.

The previous prime is 122313132299. The next prime is 122313132341. The reversal of 122313132301 is 103231313221.

It can be written as a sum of positive squares in only one way, i.e., 65997096201 + 56316036100 = 256899^2 + 237310^2 .

It is not a de Polignac number, because 122313132301 - 21 = 122313132299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313132341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169408410 + ... + 169409131.

It is an arithmetic number, because the mean of its divisors is an integer number (21514913917).

Almost surely, 2122313132301 is an apocalyptic number.

It is an amenable number.

122313132301 is a deficient number, since it is larger than the sum of its proper divisors (6776351201).

122313132301 is an equidigital number, since it uses as much as digits as its factorization.

122313132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338817579 (or 338817560 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122313132301 its reverse (103231313221), we get a palindrome (225544445522).

The spelling of 122313132301 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 19 361 338817541 6437533279 122313132301