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111000001149 = 3212333333461
BaseRepresentation
bin110011101100000011…
…1011001101001111101
3101121111210002022001200
41213120013121221331
53304312000014044
6122554231130113
711006453304462
oct1473007315175
9347453068050
10111000001149
1143090674844
1219619813939
13a60c73776b
14552dd31669
152d49cc9369
hex19d81d9a7d

111000001149 has 6 divisors (see below), whose sum is σ = 160333335006. Its totient is φ = 74000000760.

The previous prime is 111000001081. The next prime is 111000001171. The reversal of 111000001149 is 941100000111.

It can be written as a sum of positive squares in only one way, i.e., 68019248025 + 42980753124 = 260805^2 + 207318^2 .

It is not a de Polignac number, because 111000001149 - 217 = 110999870077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000008149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6166666722 + ... + 6166666739.

It is an arithmetic number, because the mean of its divisors is an integer number (26722222501).

Almost surely, 2111000001149 is an apocalyptic number.

It is an amenable number.

111000001149 is a deficient number, since it is larger than the sum of its proper divisors (49333333857).

111000001149 is a wasteful number, since it uses less digits than its factorization.

111000001149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333333467 (or 12333333464 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 111000001149 in words is "one hundred eleven billion, one thousand, one hundred forty-nine".

Divisors: 1 3 9 12333333461 37000000383 111000001149