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11111000203829 is a prime number
BaseRepresentation
bin1010000110101111101100…
…1110000110001000110101
31110100012102201010021101202
42201223323032012020311
52424020312023010304
635344153435102245
72224512641304041
oct241537316061065
943305381107352
1011111000203829
1135a416aa51a59
1212b54775a1985
136279bbbccb36
142a5abd51b021
151440514c381e
hexa1afb386235

11111000203829 has 2 divisors, whose sum is σ = 11111000203830. Its totient is φ = 11111000203828.

The previous prime is 11111000203799. The next prime is 11111000203873. The reversal of 11111000203829 is 92830200011111.

It is a happy number.

11111000203829 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., 8425678900804 + 2685321303025 = 2902702^2 + 1638695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11111000203829 is a prime.

It is a super-2 number, since 2×111110002038292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11111000203129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555500101914 + 5555500101915.

It is an arithmetic number, because the mean of its divisors is an integer number (5555500101915).

Almost surely, 211111000203829 is an apocalyptic number.

It is an amenable number.

11111000203829 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111000203829 is an equidigital number, since it uses as much as digits as its factorization.

11111000203829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 11111000203829 in words is "eleven trillion, one hundred eleven billion, two hundred three thousand, eight hundred twenty-nine".