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1100001000031 is a prime number
BaseRepresentation
bin10000000000011101001…
…010110011101001011111
310220011021221221120111221
4100000131022303221133
5121010300224000111
62201200010554211
7142321023141043
oct20003512635137
93804257846457
101100001000031
1139456498436a
12159230138967
137c9640684cb
143b351688023
151d930aec371
hex1001d2b3a5f

1100001000031 has 2 divisors, whose sum is σ = 1100001000032. Its totient is φ = 1100001000030.

The previous prime is 1100001000029. The next prime is 1100001000113. The reversal of 1100001000031 is 1300001000011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1100001000031 - 21 = 1100001000029 is a prime.

It is a super-2 number, since 2×11000010000312 (a number of 25 digits) contains 22 as substring.

Together with 1100001000029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1100000999978 and 1100001000023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100001000731) 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, 550000500015 + 550000500016.

It is an arithmetic number, because the mean of its divisors is an integer number (550000500016).

Almost surely, 21100001000031 is an apocalyptic number.

1100001000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001000031 is an equidigital number, since it uses as much as digits as its factorization.

1100001000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1100001000031 its reverse (1300001000011), we get a palindrome (2400002000042).

The spelling of 1100001000031 in words is "one trillion, one hundred billion, one million, thirty-one", and thus it is an aban number.