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12144400011157 is a prime number
BaseRepresentation
bin1011000010111001011010…
…1001100000111110010101
31120222222211010011201010211
42300232112221200332111
53042433212400324112
641455021011245421
72362255360604461
oct260562651407625
946888733151124
1012144400011157
1139624582254a7
1214417baba9871
136a129aa1997b
142ddb137294a1
15160d8507e0a7
hexb0b96a60f95

12144400011157 has 2 divisors, whose sum is σ = 12144400011158. Its totient is φ = 12144400011156.

The previous prime is 12144400011143. The next prime is 12144400011229. The reversal of 12144400011157 is 75111000444121.

12144400011157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12065438449156 + 78961562001 = 3473534^2 + 281001^2 .

It is a cyclic number.

It is not a de Polignac number, because 12144400011157 - 235 = 12110040272789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12144400011137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072200005578 + 6072200005579.

It is an arithmetic number, because the mean of its divisors is an integer number (6072200005579).

Almost surely, 212144400011157 is an apocalyptic number.

It is an amenable number.

12144400011157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12144400011157 is an equidigital number, since it uses as much as digits as its factorization.

12144400011157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480, while the sum is 31.

Adding to 12144400011157 its reverse (75111000444121), we get a palindrome (87255400455278).

The spelling of 12144400011157 in words is "twelve trillion, one hundred forty-four billion, four hundred million, eleven thousand, one hundred fifty-seven".