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212331012201201 = 34322432363331051
BaseRepresentation
bin110000010001110100101010…
…100011101001101011110001
31000211210122110022120020111110
4300101310222203221223301
5210312312403110414301
62031331304223503533
762503260264530355
oct6021645243515361
91024718408506443
10212331012201201
1161723092a251a3
121b99320a457ba9
13916296179207a
143a60c39395465
15198333c0890d6
hexc11d2a8e9af1

212331012201201 has 32 divisors (see below), whose sum is σ = 289842674913792. Its totient is φ = 138190114540800.

The previous prime is 212331012201181. The next prime is 212331012201221. The reversal of 212331012201201 is 102102210133212.

It is an interprime number because it is at equal distance from previous prime (212331012201181) and next prime (212331012201221).

It is not a de Polignac number, because 212331012201201 - 223 = 212331003812593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212331012201221) 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 31 ways as a sum of consecutive naturals, for example, 6838122126 + ... + 6838153176.

It is an arithmetic number, because the mean of its divisors is an integer number (9057583591056).

Almost surely, 2212331012201201 is an apocalyptic number.

It is an amenable number.

212331012201201 is a deficient number, since it is larger than the sum of its proper divisors (77511662712591).

212331012201201 is a wasteful number, since it uses less digits than its factorization.

212331012201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56973.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212331012201201 its reverse (102102210133212), we get a palindrome (314433222334413).

The spelling of 212331012201201 in words is "two hundred twelve trillion, three hundred thirty-one billion, twelve million, two hundred one thousand, two hundred one".

Divisors: 1 3 43 129 2243 6729 23633 31051 70899 93153 96449 289347 1016219 1335193 3048657 4005579 53008819 69647393 159026457 208942179 733828283 2201484849 2279379217 2994837899 6838137651 8984513697 31554616169 94663848507 1645976838769 4937930516307 70777004067067 212331012201201