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1111006816837 is a prime number
BaseRepresentation
bin10000001010101101001…
…010101010101001000101
310221012200222022222220121
4100022231022222221011
5121200320221114322
62210220043501541
7143160533061361
oct20125512525105
93835628288817
101111006816837
113991a2425435
1215b3a1b278b1
13809c924b648
143bab72302a1
151dd76e39ec7
hex102ad2aaa45

1111006816837 has 2 divisors, whose sum is σ = 1111006816838. Its totient is φ = 1111006816836.

The previous prime is 1111006816741. The next prime is 1111006816849. The reversal of 1111006816837 is 7386186001111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 897095016801 + 213911800036 = 947151^2 + 462506^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1111006816837 is a prime.

It is a super-2 number, since 2×11110068168372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111006816793 and 1111006816802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1111006316837) 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, 555503408418 + 555503408419.

It is an arithmetic number, because the mean of its divisors is an integer number (555503408419).

Almost surely, 21111006816837 is an apocalyptic number.

It is an amenable number.

1111006816837 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111006816837 is an equidigital number, since it uses as much as digits as its factorization.

1111006816837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 1111006816837 in words is "one trillion, one hundred eleven billion, six million, eight hundred sixteen thousand, eight hundred thirty-seven".