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111303313101 = 32101122445889
BaseRepresentation
bin110011110101000110…
…0011100011011001101
3101122021220211010211200
41213222030130123031
53310422122004401
6123044304140113
711020125360051
oct1475214343315
9348256733750
10111303313101
1143226900582
12196a3307639
13a65a524ba6
14555c327c61
152d6673e686
hex19ea31c6cd

111303313101 has 12 divisors (see below), whose sum is σ = 162363250140. Its totient is φ = 73467532800.

The previous prime is 111303313061. The next prime is 111303313103. The reversal of 111303313101 is 101313303111.

111303313101 is a `hidden beast` number, since 11 + 13 + 0 + 331 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109975803876 + 1327509225 = 331626^2 + 36435^2 .

It is not a de Polignac number, because 111303313101 - 226 = 111236204237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111303313103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61222036 + ... + 61223853.

It is an arithmetic number, because the mean of its divisors is an integer number (13530270845).

Almost surely, 2111303313101 is an apocalyptic number.

It is an amenable number.

111303313101 is a deficient number, since it is larger than the sum of its proper divisors (51059937039).

111303313101 is a wasteful number, since it uses less digits than its factorization.

111303313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122445996 (or 122445993 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 111303313101 its reverse (101313303111), we get a palindrome (212616616212).

The spelling of 111303313101 in words is "one hundred eleven billion, three hundred three million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 101 303 909 122445889 367337667 1102013001 12367034789 37101104367 111303313101