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31142400041 is a prime number
BaseRepresentation
bin11101000000001110…
…110101000000101001
32222101100220211121202
4131000032311000221
51002234423300131
622150121413545
72151511014134
oct350016650051
988340824552
1031142400041
11122310890a5
12605163a2b5
132c23c6cb5c
14171606321b
15c24087bcb
hex7403b5029

31142400041 has 2 divisors, whose sum is σ = 31142400042. Its totient is φ = 31142400040.

The previous prime is 31142400007. The next prime is 31142400067. The reversal of 31142400041 is 14000424113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30413616025 + 728784016 = 174395^2 + 26996^2 .

It is a cyclic number.

It is not a de Polignac number, because 31142400041 - 210 = 31142399017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31142399986 and 31142400022.

It is not a weakly prime, because it can be changed into another prime (31142300041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15571200020 + 15571200021.

It is an arithmetic number, because the mean of its divisors is an integer number (15571200021).

Almost surely, 231142400041 is an apocalyptic number.

It is an amenable number.

31142400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

31142400041 is an equidigital number, since it uses as much as digits as its factorization.

31142400041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31142400041 its reverse (14000424113), we get a palindrome (45142824154).

The spelling of 31142400041 in words is "thirty-one billion, one hundred forty-two million, four hundred thousand, forty-one".