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10110011000077 is a prime number
BaseRepresentation
bin1001001100011110101110…
…0111010100010100001101
31022210111201001100002110201
42103013223213110110031
52311120300304000302
633300250330333501
72062265332411042
oct223075347242415
938714631302421
1010110011000077
1132486a47076aa
12117347a28a291
135844a6a07241
1426d4819771c9
15127eb7eaec87
hex931eb9d450d

10110011000077 has 2 divisors, whose sum is σ = 10110011000078. Its totient is φ = 10110011000076.

The previous prime is 10110011000057. The next prime is 10110011000107. The reversal of 10110011000077 is 77000011001101.

It is a happy number.

10110011000077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7720695760996 + 2389315239081 = 2778614^2 + 1545741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10110011000077 is a prime.

It is a super-3 number, since 3×101100110000773 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110011000057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055005500038 + 5055005500039.

It is an arithmetic number, because the mean of its divisors is an integer number (5055005500039).

Almost surely, 210110011000077 is an apocalyptic number.

It is an amenable number.

10110011000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110011000077 is an equidigital number, since it uses as much as digits as its factorization.

10110011000077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 10110011000077 its reverse (77000011001101), we get a palindrome (87110022001178).

The spelling of 10110011000077 in words is "ten trillion, one hundred ten billion, eleven million, seventy-seven", and thus it is an aban number.