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212146422113 is a prime number
BaseRepresentation
bin1100010110010011101…
…0011000000101100001
3202021120211220212020002
43011210322120011201
511433433441001423
6241243030025345
721220120556243
oct3054472300541
9667524825202
10212146422113
1181a7514098a
12351474a8255
131700b8cc1b2
14a3a7336093
1557b99b9228
hex3164e98161

212146422113 has 2 divisors, whose sum is σ = 212146422114. Its totient is φ = 212146422112.

The previous prime is 212146422091. The next prime is 212146422121. The reversal of 212146422113 is 311224641212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131139585424 + 81006836689 = 362132^2 + 284617^2 .

It is a cyclic number.

It is not a de Polignac number, because 212146422113 - 220 = 212145373537 is a prime.

It is a super-2 number, since 2×2121464221132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212146422133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106073211056 + 106073211057.

It is an arithmetic number, because the mean of its divisors is an integer number (106073211057).

Almost surely, 2212146422113 is an apocalyptic number.

It is an amenable number.

212146422113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212146422113 is an equidigital number, since it uses as much as digits as its factorization.

212146422113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 29.

The spelling of 212146422113 in words is "two hundred twelve billion, one hundred forty-six million, four hundred twenty-two thousand, one hundred thirteen".