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212421034144441 = 17409106012881897
BaseRepresentation
bin110000010011001000100000…
…010010000111001010111001
31000212010020211002201210002101
4300103020200102013022321
5210320301234220110231
62031440513110303401
762512625151445363
oct6023104022071271
91025106732653071
10212421034144441
1161758288a735a1
121b9a8752657b61
13916b2a9cc80c5
143a65339165d33
15198585a2ec661
hexc132204872b9

212421034144441 has 16 divisors (see below), whose sum is σ = 225487653558480. Its totient is φ = 199417981132800.

The previous prime is 212421034144409. The next prime is 212421034144511. The reversal of 212421034144441 is 144441430124212.

It can be written as a sum of positive squares in 8 ways, for example, as 27623654384041 + 184797379760400 = 5255821^2 + 13594020^2 .

It is not a de Polignac number, because 212421034144441 - 25 = 212421034144409 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 212421034144441.

It is not an unprimeable number, because it can be changed into a prime (212421034144541) 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, 72267805 + ... + 75149701.

It is an arithmetic number, because the mean of its divisors is an integer number (14092978347405).

Almost surely, 2212421034144441 is an apocalyptic number.

It is an amenable number.

212421034144441 is a deficient number, since it is larger than the sum of its proper divisors (13066619414039).

212421034144441 is a wasteful number, since it uses less digits than its factorization.

212421034144441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892924.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 212421034144441 its reverse (144441430124212), we get a palindrome (356862464268653).

The spelling of 212421034144441 in words is "two hundred twelve trillion, four hundred twenty-one billion, thirty-four million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 17 409 6953 10601 180217 2881897 4335809 48992249 73708753 1178695873 20037829841 30550990097 519366831649 12495354949673 212421034144441