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106080000031 is a prime number
BaseRepresentation
bin110001011001011011…
…1000101100000011111
3101010210220020100100001
41202302313011200133
53214222440000111
6120422114315131
710443522060055
oct1426267054037
9333726210301
10106080000031
1140a96438115
1218685b88aa7
13a0073388b5
1451c47361d5
152b5cdc61c1
hex18b2dc581f

106080000031 has 2 divisors, whose sum is σ = 106080000032. Its totient is φ = 106080000030.

The previous prime is 106080000011. The next prime is 106080000079. The reversal of 106080000031 is 130000080601.

It is a weak prime.

It is an emirp because it is prime and its reverse (130000080601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106080000031 - 27 = 106079999903 is a prime.

It is a super-2 number, since 2×1060800000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106079999963 and 106080000008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106080000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53040000015 + 53040000016.

It is an arithmetic number, because the mean of its divisors is an integer number (53040000016).

Almost surely, 2106080000031 is an apocalyptic number.

106080000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

106080000031 is an equidigital number, since it uses as much as digits as its factorization.

106080000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 106080000031 its reverse (130000080601), we get a palindrome (236080080632).

The spelling of 106080000031 in words is "one hundred six billion, eighty million, thirty-one", and thus it is an aban number.