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412101013244141 = 1323514969375161
BaseRepresentation
bin101110110110011011011111…
…0100000011000100011101101
32000001010110202011120200211202
41131230312332200120203231
5413003330333342303031
64020244331505255245
7152542213164235034
oct13554667640304355
92001113664520752
10412101013244141
1110a343070585951
123a277b2b634525
13148c3c60643600
1473a9b1ca8171b
153299a5e1d42cb
hex176cdbe8188ed

412101013244141 has 12 divisors (see below), whose sum is σ = 446252260806900. Its totient is φ = 380390107294080.

The previous prime is 412101013244117. The next prime is 412101013244159. The reversal of 412101013244141 is 141442310101214.

It can be written as a sum of positive squares in 6 ways, for example, as 56385231180100 + 355715782064041 = 7509010^2 + 18860429^2 .

It is a de Polignac number, because none of the positive numbers 2k-412101013244141 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 (412101013249141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28747400 + ... + 40627761.

It is an arithmetic number, because the mean of its divisors is an integer number (37187688400575).

Almost surely, 2412101013244141 is an apocalyptic number.

It is an amenable number.

412101013244141 is a deficient number, since it is larger than the sum of its proper divisors (34151247562759).

412101013244141 is a wasteful number, since it uses less digits than its factorization.

412101013244141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69410336 (or 69410323 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 412101013244141 its reverse (141442310101214), we get a palindrome (553543323345355).

The spelling of 412101013244141 in words is "four hundred twelve trillion, one hundred one billion, thirteen million, two hundred forty-four thousand, one hundred forty-one".

Divisors: 1 13 169 35149 456937 5940181 69375161 901877093 11724402209 2438467533989 31700077941857 412101013244141