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13357511077 is a prime number
BaseRepresentation
bin11000111000010101…
…10111000110100101
31021110220111212110111
430130022313012211
5204324010323302
610045241453021
7652003653661
oct143412670645
937426455414
1013357511077
115734a6a859
1227094a1171
13134b487911
1490a02d8a1
15532a210d7
hex31c2b71a5

13357511077 has 2 divisors, whose sum is σ = 13357511078. Its totient is φ = 13357511076.

The previous prime is 13357511059. The next prime is 13357511117. The reversal of 13357511077 is 77011575331.

13357511077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13357511117) can be obtained adding 13357511077 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., 13263207556 + 94303521 = 115166^2 + 9711^2 .

It is a cyclic number.

It is not a de Polignac number, because 13357511077 - 219 = 13356986789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13357511017) 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, 6678755538 + 6678755539.

It is an arithmetic number, because the mean of its divisors is an integer number (6678755539).

Almost surely, 213357511077 is an apocalyptic number.

It is an amenable number.

13357511077 is a deficient number, since it is larger than the sum of its proper divisors (1).

13357511077 is an equidigital number, since it uses as much as digits as its factorization.

13357511077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77175, while the sum is 40.

The spelling of 13357511077 in words is "thirteen billion, three hundred fifty-seven million, five hundred eleven thousand, seventy-seven".