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212424334413401 = 11267710932372521
BaseRepresentation
bin110000010011001011100100…
…111111101000111001011001
31000212010120100002202211000002
4300103023210333220321121
5210320330014102212101
62031442220402422345
762513103014330645
oct6023134477507131
91025116302684002
10212424334413401
1161759721981500
121b9a93139619b5
13916b6b4972986
143a6556d5b1c25
15198599ee04d6b
hexc132e4fe8e59

212424334413401 has 24 divisors (see below), whose sum is σ = 234050139917832. Its totient is φ = 192651281222400.

The previous prime is 212424334413367. The next prime is 212424334413439. The reversal of 212424334413401 is 104314433424212.

It can be written as a sum of positive squares in 4 ways, for example, as 206078973413401 + 6345361000000 = 14355451^2 + 2519000^2 .

It is a de Polignac number, because none of the positive numbers 2k-212424334413401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212424334413301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88349021 + ... + 90721541.

It is an arithmetic number, because the mean of its divisors is an integer number (9752089163243).

Almost surely, 2212424334413401 is an apocalyptic number.

It is an amenable number.

212424334413401 is a deficient number, since it is larger than the sum of its proper divisors (21625805504431).

212424334413401 is a wasteful number, since it uses less digits than its factorization.

212424334413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374313 (or 2374302 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 212424334413401 its reverse (104314433424212), we get a palindrome (316738767837613).

The spelling of 212424334413401 in words is "two hundred twelve trillion, four hundred twenty-four billion, three hundred thirty-four million, four hundred thirteen thousand, four hundred one".

Divisors: 1 11 121 677 1093 7447 12023 81917 132253 739961 2372521 8139571 26097731 89535281 287075041 1606196717 2593165453 17668163887 28524819983 194349802757 313773019813 1755573011681 19311303128491 212424334413401