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122241142221 = 31110933984193
BaseRepresentation
bin111000111011000100…
…0111100110111001101
3102200112012021102122220
41301312020330313031
54000322213022341
6132053511525553
711555151364512
oct1616610746715
9380465242586
10122241142221
1147929a35480
121b8363898b9
13b6b15c2423
145cb8c53309
1532a6aeca66
hex1c7623cdcd

122241142221 has 16 divisors (see below), whose sum is σ = 179436544320. Its totient is φ = 73405854720.

The previous prime is 122241142201. The next prime is 122241142241.

122241142221 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (122241142201) and next prime (122241142241).

It is not a de Polignac number, because 122241142221 - 226 = 122174033357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122241142191 and 122241142200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122241142201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16988500 + ... + 16995693.

It is an arithmetic number, because the mean of its divisors is an integer number (11214784020).

Almost surely, 2122241142221 is an apocalyptic number.

122241142221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122241142221 is a deficient number, since it is larger than the sum of its proper divisors (57195402099).

122241142221 is a wasteful number, since it uses less digits than its factorization.

122241142221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33984316.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 122241 and 142221, that added together give a palindrome (264462).

The spelling of 122241142221 in words is "one hundred twenty-two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 109 327 1199 3597 33984193 101952579 373826123 1121478369 3704277037 11112831111 40747047407 122241142221