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10121124441149 is a prime number
BaseRepresentation
bin1001001101001000001000…
…0001101110110000111101
31022211120101120020101121022
42103102002001232300331
52311311030324104044
633305325210113525
72063140620166631
oct223220201566075
938746346211538
1010121124441149
113252387987447
12117566011b8a5
135855582a0287
1426dc17936dc1
151284189ab3ee
hex9348206ec3d

10121124441149 has 2 divisors, whose sum is σ = 10121124441150. Its totient is φ = 10121124441148.

The previous prime is 10121124441101. The next prime is 10121124441163. The reversal of 10121124441149 is 94114442112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8356695732025 + 1764428709124 = 2890795^2 + 1328318^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121124441149 - 228 = 10120856005693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121124441179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060562220574 + 5060562220575.

It is an arithmetic number, because the mean of its divisors is an integer number (5060562220575).

Almost surely, 210121124441149 is an apocalyptic number.

It is an amenable number.

10121124441149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121124441149 is an equidigital number, since it uses as much as digits as its factorization.

10121124441149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 10121124441149 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-four million, four hundred forty-one thousand, one hundred forty-nine".