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121442144401 = 1714947943997
BaseRepresentation
bin111000100011010000…
…1000001000010010001
3102121110111211010201001
41301012201001002101
53442203142110101
6131442330342001
711526310124014
oct1610641010221
9377414733631
10121442144401
1147559a195a6
121b65288a901
13b5b4c00756
145c40aa937b
15325b8c2901
hex1c46841091

121442144401 has 8 divisors (see below), whose sum is σ = 129448794600. Its totient is φ = 113531382528.

The previous prime is 121442144377. The next prime is 121442144441. The reversal of 121442144401 is 104441244121.

It can be written as a sum of positive squares in 4 ways, for example, as 1778730625 + 119663413776 = 42175^2 + 345924^2 .

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 121442144401 - 27 = 121442144273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121442144401.

It is not an unprimeable number, because it can be changed into a prime (121442144441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23969466 + ... + 23974531.

It is an arithmetic number, because the mean of its divisors is an integer number (16181099325).

Almost surely, 2121442144401 is an apocalyptic number.

It is an amenable number.

121442144401 is a deficient number, since it is larger than the sum of its proper divisors (8006650199).

121442144401 is a wasteful number, since it uses less digits than its factorization.

121442144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47944163.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 121442144401 its reverse (104441244121), we get a palindrome (225883388522).

The spelling of 121442144401 in words is "one hundred twenty-one billion, four hundred forty-two million, one hundred forty-four thousand, four hundred one".

Divisors: 1 17 149 2533 47943997 815047949 7143655553 121442144401