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212400313545114 = 232151203938325557
BaseRepresentation
bin110000010010110101001101…
…001111010011000110011010
31000212001021100001021021101200
4300102311031033103012122
5210314431320231420424
62031423205040055030
762511262526323662
oct6022651517230632
91025037301237350
10212400313545114
116174a515805642
121b9a472b304476
13916935724ac46
143a643312a31a2
1519850461908c9
hexc12d4d3d319a

212400313545114 has 48 divisors (see below), whose sum is σ = 463475571960960. Its totient is φ = 70296734815200.

The previous prime is 212400313545109. The next prime is 212400313545149. The reversal of 212400313545114 is 411545313004212.

212400313545114 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 0 + 3 + 135 + 4 + 511 + 4 = 666.

It is a super-2 number, since 2×2124003135451142 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 13620777 + ... + 24704780.

It is an arithmetic number, because the mean of its divisors is an integer number (9655741082520).

Almost surely, 2212400313545114 is an apocalyptic number.

212400313545114 is an abundant number, since it is smaller than the sum of its proper divisors (251075258415846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212400313545114 is a wasteful number, since it uses less digits than its factorization.

212400313545114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38327755 (or 38327752 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 212400313545114 its reverse (411545313004212), we get a palindrome (623945626549326).

The spelling of 212400313545114 in words is "two hundred twelve trillion, four hundred billion, three hundred thirteen million, five hundred forty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2039 2718 4078 6117 12234 18351 36702 307889 615778 923667 1847334 2771001 5542002 38325557 76651114 114976671 229953342 344930013 689860026 5787159107 11574318214 17361477321 34722954642 52084431963 78145810723 104168863926 156291621446 234437432169 468874864338 703312296507 1406624593014 11800017419173 23600034838346 35400052257519 70800104515038 106200156772557 212400313545114