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212012133997 is a prime number
BaseRepresentation
bin1100010101110011101…
…0000110111001101101
3202021020111020022120011
43011130322012321231
511433200101241442
6241221431453221
721213600255556
oct3053472067155
9667214208504
10212012133997
1181a06360274
123510a527211
1316cb9b41981
14a39357b32d
1557acce0117
hex315ce86e6d

212012133997 has 2 divisors, whose sum is σ = 212012133998. Its totient is φ = 212012133996.

The previous prime is 212012133967. The next prime is 212012134027. The reversal of 212012133997 is 799331210212.

It is a balanced prime because it is at equal distance from previous prime (212012133967) and next prime (212012134027).

It can be written as a sum of positive squares in only one way, i.e., 210744346761 + 1267787236 = 459069^2 + 35606^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212012133997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212012133967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006066998 + 106006066999.

It is an arithmetic number, because the mean of its divisors is an integer number (106006066999).

Almost surely, 2212012133997 is an apocalyptic number.

It is an amenable number.

212012133997 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012133997 is an equidigital number, since it uses as much as digits as its factorization.

212012133997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 212012133997 in words is "two hundred twelve billion, twelve million, one hundred thirty-three thousand, nine hundred ninety-seven".