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212207562517 is a prime number
BaseRepresentation
bin1100010110100010001…
…1100110111100010101
3202021202002222010002111
43011220203212330111
511434100114000032
6241253052311021
721221462343166
oct3055043467425
9667662863074
10212207562517
1181aa6700645
1235163a72471
131701b488252
14a3b14cd76d
1557c0044c47
hex31688e6f15

212207562517 has 2 divisors, whose sum is σ = 212207562518. Its totient is φ = 212207562516.

The previous prime is 212207562509. The next prime is 212207562563. The reversal of 212207562517 is 715265702212.

212207562517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198304558596 + 13903003921 = 445314^2 + 117911^2 .

It is a cyclic number.

It is not a de Polignac number, because 212207562517 - 23 = 212207562509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212207562517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212207566517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106103781258 + 106103781259.

It is an arithmetic number, because the mean of its divisors is an integer number (106103781259).

Almost surely, 2212207562517 is an apocalyptic number.

It is an amenable number.

212207562517 is a deficient number, since it is larger than the sum of its proper divisors (1).

212207562517 is an equidigital number, since it uses as much as digits as its factorization.

212207562517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 212207562517 in words is "two hundred twelve billion, two hundred seven million, five hundred sixty-two thousand, five hundred seventeen".