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212401220400039 = 3113126697607303
BaseRepresentation
bin110000010010110110000011…
…010010101011001110100111
31000212001100200020200021111010
4300102312003102223032213
5210314440144410300124
62031423435033113303
762511324150422616
oct6022660322531647
91025040606607433
10212401220400039
116174a94069a120
121b9a4942b58833
1391694700a47a8
143a643b98c587d
15198509aac3529
hexc12d834ab3a7

212401220400039 has 24 divisors (see below), whose sum is σ = 319234754537856. Its totient is φ = 124575495817200.

The previous prime is 212401220400023. The next prime is 212401220400079. The reversal of 212401220400039 is 930004022104212.

It is not a de Polignac number, because 212401220400039 - 24 = 212401220400023 is a prime.

It is a super-2 number, since 2×2124012204000392 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212401220399979 and 212401220400015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212401220400079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3348771939 + ... + 3348835364.

It is an arithmetic number, because the mean of its divisors is an integer number (13301448105744).

Almost surely, 2212401220400039 is an apocalyptic number.

212401220400039 is a deficient number, since it is larger than the sum of its proper divisors (106833534137817).

212401220400039 is a wasteful number, since it uses less digits than its factorization.

212401220400039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697607379 (or 6697607348 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 212401220400039 in words is "two hundred twelve trillion, four hundred one billion, two hundred twenty million, four hundred thousand, thirty-nine".

Divisors: 1 3 11 31 33 93 341 961 1023 2883 10571 31713 6697607303 20092821909 73673680333 207625826393 221021040999 622877479179 2283884090323 6436400618183 6851652270969 19309201854549 70800406800013 212401220400039