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212112120133 is a prime number
BaseRepresentation
bin1100010110001011011…
…1100001100101000101
3202021111110101010202101
43011202313201211011
511433401200321013
6241235402512101
721216223162414
oct3054267414505
9667443333671
10212112120133
1181a57842341
1235137b05631
131700477c074
14a3a296747b
1557b69908dd
hex3162de1945

212112120133 has 2 divisors, whose sum is σ = 212112120134. Its totient is φ = 212112120132.

The previous prime is 212112120119. The next prime is 212112120169. The reversal of 212112120133 is 331021211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136307163204 + 75804956929 = 369198^2 + 275327^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112120133 - 225 = 212078565701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212112120133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112100133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056060066 + 106056060067.

It is an arithmetic number, because the mean of its divisors is an integer number (106056060067).

Almost surely, 2212112120133 is an apocalyptic number.

It is an amenable number.

212112120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112120133 is an equidigital number, since it uses as much as digits as its factorization.

212112120133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212112120133 its reverse (331021211212), we get a palindrome (543133331345).

The spelling of 212112120133 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred thirty-three".