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212013211973 is a prime number
BaseRepresentation
bin1100010101110011111…
…0001110000101000101
3202021020120021002021012
43011130332032011011
511433200340240343
6241221510532005
721213612365423
oct3053476160505
9667216232235
10212013211973
1181a06a27162
123510a967005
1316cba12b524
14a39377c113
1557ace54718
hex315cf8e145

212013211973 has 2 divisors, whose sum is σ = 212013211974. Its totient is φ = 212013211972.

The previous prime is 212013211961. The next prime is 212013211981. The reversal of 212013211973 is 379112310212.

212013211973 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., 211983813889 + 29398084 = 460417^2 + 5422^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013211973 - 234 = 194833342789 is a prime.

It is a super-2 number, since 2×2120132119732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212013211903) 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, 106006605986 + 106006605987.

It is an arithmetic number, because the mean of its divisors is an integer number (106006605987).

Almost surely, 2212013211973 is an apocalyptic number.

It is an amenable number.

212013211973 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013211973 is an equidigital number, since it uses as much as digits as its factorization.

212013211973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 212013211973 in words is "two hundred twelve billion, thirteen million, two hundred eleven thousand, nine hundred seventy-three".