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111132123401 = 1325324775009
BaseRepresentation
bin110011101111111111…
…1011010000100001001
3101121211222200210201102
41213133333122010021
53310044310422101
6123015311031145
711012646314525
oct1473777320411
9347758623642
10111132123401
1143149206192
1219655b0b4b5
13a630c17200
1455436c4d85
152d566c686b
hex19dffda109

111132123401 has 24 divisors (see below), whose sum is σ = 122682855960. Its totient is φ = 100587242496.

The previous prime is 111132123379. The next prime is 111132123457. The reversal of 111132123401 is 104321231111.

It can be written as a sum of positive squares in 12 ways, for example, as 44152095376 + 66980028025 = 210124^2 + 258805^2 .

It is not a de Polignac number, because 111132123401 - 210 = 111132122377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111132123491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22183985 + ... + 22188993.

It is an arithmetic number, because the mean of its divisors is an integer number (5111785665).

Almost surely, 2111132123401 is an apocalyptic number.

It is an amenable number.

111132123401 is a deficient number, since it is larger than the sum of its proper divisors (11550732559).

111132123401 is a wasteful number, since it uses less digits than its factorization.

111132123401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 111132123401 its reverse (104321231111), we get a palindrome (215453354512).

The spelling of 111132123401 in words is "one hundred eleven billion, one hundred thirty-two million, one hundred twenty-three thousand, four hundred one".

Divisors: 1 13 53 169 689 2477 5009 8957 32201 65117 131281 265477 418613 846521 1706653 3451201 12407293 22186489 44865613 161294809 657586529 2096832517 8548624877 111132123401