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31181909053 is a prime number
BaseRepresentation
bin11101000010100101…
…100010110000111101
32222111010021002210111
4131002211202300331
51002330032042203
622154052310021
72152500565561
oct350245426075
988433232714
1031181909053
1112251413879
126062912311
132c2c1c4079
14171b3c96a1
15c2778e26d
hex742962c3d

31181909053 has 2 divisors, whose sum is σ = 31181909054. Its totient is φ = 31181909052.

The previous prime is 31181909051. The next prime is 31181909093. The reversal of 31181909053 is 35090918113.

It is an a-pointer prime, because the next prime (31181909093) can be obtained adding 31181909053 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30421638724 + 760270329 = 174418^2 + 27573^2 .

It is a cyclic number.

It is not a de Polignac number, because 31181909053 - 21 = 31181909051 is a prime.

It is a super-2 number, since 2×311819090532 (a number of 22 digits) contains 22 as substring.

Together with 31181909051, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 31181908997 and 31181909015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31181909051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15590954526 + 15590954527.

It is an arithmetic number, because the mean of its divisors is an integer number (15590954527).

Almost surely, 231181909053 is an apocalyptic number.

It is an amenable number.

31181909053 is a deficient number, since it is larger than the sum of its proper divisors (1).

31181909053 is an equidigital number, since it uses as much as digits as its factorization.

31181909053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 40.

The spelling of 31181909053 in words is "thirty-one billion, one hundred eighty-one million, nine hundred nine thousand, fifty-three".