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122105014441 = 533299369829
BaseRepresentation
bin111000110111000000…
…1101010100010101001
3102200011201010102110021
41301232001222202221
54000032340430231
6132032210120441
711551606332514
oct1615601524251
9380151112407
10122105014441
114786a108683
121b7b8880121
13b68c33c747
145ca4b39d7b
153299bad811
hex1c6e06a8a9

122105014441 has 8 divisors (see below), whose sum is σ = 124414435080. Its totient is φ = 119795799552.

The previous prime is 122105014429. The next prime is 122105014459. The reversal of 122105014441 is 144410501221.

It can be written as a sum of positive squares in 4 ways, for example, as 1115827216 + 120989187225 = 33404^2 + 347835^2 .

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 122105014441 - 29 = 122105013929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122105015441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1713715 + ... + 1783543.

It is an arithmetic number, because the mean of its divisors is an integer number (15551804385).

Almost surely, 2122105014441 is an apocalyptic number.

It is an amenable number.

122105014441 is a deficient number, since it is larger than the sum of its proper divisors (2309420639).

122105014441 is an equidigital number, since it uses as much as digits as its factorization.

122105014441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102875.

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 122105014441 its reverse (144410501221), we get a palindrome (266515515662).

The spelling of 122105014441 in words is "one hundred twenty-two billion, one hundred five million, fourteen thousand, four hundred forty-one".

Divisors: 1 53 32993 69829 1748629 3700937 2303868197 122105014441