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31341144132 = 22332910006751
BaseRepresentation
bin11101001100000100…
…111110100001000100
32222220012220002021000
4131030010332201010
51003141313103012
622221541253300
72156443221024
oct351404764104
988805802230
1031341144132
1112323293511
1260a8104230
132c561a75cc
1417345d9a84
15c36744ddc
hex74c13e844

31341144132 has 48 divisors (see below), whose sum is σ = 84056716800. Its totient is φ = 10086804000.

The previous prime is 31341144071. The next prime is 31341144137. The reversal of 31341144132 is 23144114313.

31341144132 is a `hidden beast` number, since 3 + 134 + 114 + 413 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31341144096 and 31341144105.

It is not an unprimeable number, because it can be changed into a prime (31341144137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000244 + ... + 5006507.

It is an arithmetic number, because the mean of its divisors is an integer number (1751181600).

Almost surely, 231341144132 is an apocalyptic number.

It is an amenable number.

31341144132 is an abundant number, since it is smaller than the sum of its proper divisors (52715572668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31341144132 is a wasteful number, since it uses less digits than its factorization.

31341144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006793 (or 10006785 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31341144132 its reverse (23144114313), we get a palindrome (54485258445).

The spelling of 31341144132 in words is "thirty-one billion, three hundred forty-one million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 10006751 20013502 30020253 40027004 60040506 90060759 120081012 180121518 270182277 290195779 360243036 540364554 580391558 870587337 1080729108 1160783116 1741174674 2611762011 3482349348 5223524022 7835286033 10447048044 15670572066 31341144132