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212146422133 is a prime number
BaseRepresentation
bin1100010110010011101…
…0011000000101110101
3202021120211220212020211
43011210322120011311
511433433441002013
6241243030025421
721220120556302
oct3054472300565
9667524825224
10212146422133
1181a751409a8
12351474a8271
131700b8cc1c9
14a3a73360a9
1557b99b923d
hex3164e98175

212146422133 has 2 divisors, whose sum is σ = 212146422134. Its totient is φ = 212146422132.

The previous prime is 212146422121. The next prime is 212146422179. The reversal of 212146422133 is 331224641212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124060337284 + 88086084849 = 352222^2 + 296793^2 .

It is a cyclic number.

It is not a de Polignac number, because 212146422133 - 217 = 212146291061 is a prime.

It is a super-2 number, since 2×2121464221332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212146422095 and 212146422104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212146422113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106073211066 + 106073211067.

It is an arithmetic number, because the mean of its divisors is an integer number (106073211067).

Almost surely, 2212146422133 is an apocalyptic number.

It is an amenable number.

212146422133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212146422133 is an equidigital number, since it uses as much as digits as its factorization.

212146422133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 31.

The spelling of 212146422133 in words is "two hundred twelve billion, one hundred forty-six million, four hundred twenty-two thousand, one hundred thirty-three".