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122243342221 = 711131011209121
BaseRepresentation
bin111000111011001000…
…1010101111110001101
3102200112100102012111101
41301312101111332031
54000323243422341
6132054031023101
711555206156510
oct1616621257615
9380470365441
10122243342221
11479301a8360
121b83706aa91
13b6b1bb28c0
145cb9266d77
1532a6dd4831
hex1c76455f8d

122243342221 has 32 divisors (see below), whose sum is σ = 165756116736. Its totient is φ = 87056640000.

The previous prime is 122243342219. The next prime is 122243342267.

122243342221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122243342221 - 21 = 122243342219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122243342221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122243342281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503460 + ... + 705661.

It is an arithmetic number, because the mean of its divisors is an integer number (5179878648).

Almost surely, 2122243342221 is an apocalyptic number.

122243342221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122243342221 is a deficient number, since it is larger than the sum of its proper divisors (43512774515).

122243342221 is a wasteful number, since it uses less digits than its factorization.

122243342221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209253.

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 122243 and 342221, that added together give a palindrome (464464).

The spelling of 122243342221 in words is "one hundred twenty-two billion, two hundred forty-three million, three hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 101 143 707 1001 1111 1313 7777 9191 14443 101101 1209121 8463847 13300331 15718573 93102317 110030011 122121221 172904303 854848547 1210330121 1343333431 1587575873 9403334017 11113031111 17463334603 122243342221