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212102201249 is a prime number
BaseRepresentation
bin1100010110001001000…
…1101011111110100001
3202021110202201012121022
43011202101223332201
511433341130414444
6241234410135225
721216042651401
oct3054221537641
9667422635538
10212102201249
1181a52188114
1235134721515
13170026b83c3
14a3a1504801
1557b5b819ee
hex316246bfa1

212102201249 has 2 divisors, whose sum is σ = 212102201250. Its totient is φ = 212102201248.

The previous prime is 212102201197. The next prime is 212102201257. The reversal of 212102201249 is 942102201212.

212102201249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177577960000 + 34524241249 = 421400^2 + 185807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212102201249 is a prime.

It is not a weakly prime, because it can be changed into another prime (212102201149) 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, 106051100624 + 106051100625.

It is an arithmetic number, because the mean of its divisors is an integer number (106051100625).

Almost surely, 2212102201249 is an apocalyptic number.

It is an amenable number.

212102201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102201249 is an equidigital number, since it uses as much as digits as its factorization.

212102201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 212102201249 in words is "two hundred twelve billion, one hundred two million, two hundred one thousand, two hundred forty-nine".