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4101334322077 is a prime number
BaseRepresentation
bin111011101011101010100…
…100110100101110011101
3112112002021001002121222001
4323223222210310232131
51014144013041301302
612420043232122301
7602211613351336
oct73535244645635
915462231077861
104101334322077
111341403337693
12562a48696391
132399a5b9c465
1410271169728d
1571a42414787
hex3baea934b9d

4101334322077 has 2 divisors, whose sum is σ = 4101334322078. Its totient is φ = 4101334322076.

The previous prime is 4101334322069. The next prime is 4101334322083. The reversal of 4101334322077 is 7702234331014.

It is a happy number.

4101334322077 is digitally balanced in base 3, 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., 4078416601081 + 22917720996 = 2019509^2 + 151386^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101334322077 - 23 = 4101334322069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4101334322017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050667161038 + 2050667161039.

It is an arithmetic number, because the mean of its divisors is an integer number (2050667161039).

Almost surely, 24101334322077 is an apocalyptic number.

It is an amenable number.

4101334322077 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101334322077 is an equidigital number, since it uses as much as digits as its factorization.

4101334322077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 4101334322077 in words is "four trillion, one hundred one billion, three hundred thirty-four million, three hundred twenty-two thousand, seventy-seven".