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213012312022177 is a prime number
BaseRepresentation
bin110000011011101111001011…
…001100001101110010100001
31000221012210000021101010011021
4300123233023030031302201
5210404443203334202202
62033012301043245441
762603426444463463
oct6033571314156241
91027183007333137
10213012312022177
1161966017a0a588
121ba83268379881
1391b1c89928a05
143a85bcac8a133
151995e1457ca37
hexc1bbcb30dca1

213012312022177 has 2 divisors, whose sum is σ = 213012312022178. Its totient is φ = 213012312022176.

The previous prime is 213012312021979. The next prime is 213012312022231. The reversal of 213012312022177 is 771220213210312.

213012312022177 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., 208865391134976 + 4146920887201 = 14452176^2 + 2036399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213012312022177 is a prime.

It is not a weakly prime, because it can be changed into another prime (213012312020177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506156011088 + 106506156011089.

It is an arithmetic number, because the mean of its divisors is an integer number (106506156011089).

Almost surely, 2213012312022177 is an apocalyptic number.

It is an amenable number.

213012312022177 is a deficient number, since it is larger than the sum of its proper divisors (1).

213012312022177 is an equidigital number, since it uses as much as digits as its factorization.

213012312022177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112, while the sum is 34.

Adding to 213012312022177 its reverse (771220213210312), we get a palindrome (984232525232489).

The spelling of 213012312022177 in words is "two hundred thirteen trillion, twelve billion, three hundred twelve million, twenty-two thousand, one hundred seventy-seven".