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212141234009 is a prime number
BaseRepresentation
bin1100010110010010011…
…0100101011101011001
3202021120111011021111002
43011210212211131121
511433431123442014
6241242322514345
721220025510465
oct3054446453531
9667514137432
10212141234009
1181a72217aa1
12351458059b5
131700a803903
14a3a67854a5
1557b92e1dde
hex31649a5759

212141234009 has 2 divisors, whose sum is σ = 212141234010. Its totient is φ = 212141234008.

The previous prime is 212141233991. The next prime is 212141234021. The reversal of 212141234009 is 900432141212.

212141234009 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., 211809811984 + 331422025 = 460228^2 + 18205^2 .

It is a cyclic number.

It is not a de Polignac number, because 212141234009 - 212 = 212141229913 is a prime.

It is a super-2 number, since 2×2121412340092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212141234069) 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, 106070617004 + 106070617005.

It is an arithmetic number, because the mean of its divisors is an integer number (106070617005).

Almost surely, 2212141234009 is an apocalyptic number.

It is an amenable number.

212141234009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212141234009 is an equidigital number, since it uses as much as digits as its factorization.

212141234009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 212141234009 in words is "two hundred twelve billion, one hundred forty-one million, two hundred thirty-four thousand, nine".