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10701106541 is a prime number
BaseRepresentation
bin10011111011101010…
…11110110101101101
31000121210000112111022
421331311132311231
5133403440402131
64525505503525
7526116622226
oct117565366555
930553015438
1010701106541
1145a154a804
1220a7941ba5
131017026408
1473730824d
154296ed37b
hex27dd5ed6d

10701106541 has 2 divisors, whose sum is σ = 10701106542. Its totient is φ = 10701106540.

The previous prime is 10701106531. The next prime is 10701106571. The reversal of 10701106541 is 14560110701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9736755625 + 964350916 = 98675^2 + 31054^2 .

It is a cyclic number.

It is not a de Polignac number, because 10701106541 - 218 = 10700844397 is a prime.

It is a super-2 number, since 2×107011065412 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10701106541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10701106531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5350553270 + 5350553271.

It is an arithmetic number, because the mean of its divisors is an integer number (5350553271).

Almost surely, 210701106541 is an apocalyptic number.

It is an amenable number.

10701106541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10701106541 is an equidigital number, since it uses as much as digits as its factorization.

10701106541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 10701106541 in words is "ten billion, seven hundred one million, one hundred six thousand, five hundred forty-one".