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212146422121 is a prime number
BaseRepresentation
bin1100010110010011101…
…0011000000101101001
3202021120211220212020101
43011210322120011221
511433433441001441
6241243030025401
721220120556254
oct3054472300551
9667524825211
10212146422121
1181a75140997
12351474a8261
131700b8cc1ba
14a3a733609b
1557b99b9231
hex3164e98169

212146422121 has 2 divisors, whose sum is σ = 212146422122. Its totient is φ = 212146422120.

The previous prime is 212146422113. The next prime is 212146422133. The reversal of 212146422121 is 121224641212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125907877225 + 86238544896 = 354835^2 + 293664^2 .

It is a cyclic number.

It is not a de Polignac number, because 212146422121 - 23 = 212146422113 is a prime.

It is a super-2 number, since 2×2121464221212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212146422121.

It is not a weakly prime, because it can be changed into another prime (212146425121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106073211060 + 106073211061.

It is an arithmetic number, because the mean of its divisors is an integer number (106073211061).

Almost surely, 2212146422121 is an apocalyptic number.

It is an amenable number.

212146422121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212146422121 is an equidigital number, since it uses as much as digits as its factorization.

212146422121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 28.

The spelling of 212146422121 in words is "two hundred twelve billion, one hundred forty-six million, four hundred twenty-two thousand, one hundred twenty-one".