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10137200069 is a prime number
BaseRepresentation
bin10010111000011100…
…10110010111000101
3222011110221010020102
421130032112113011
5131230110400234
64353523213445
7506131531103
oct113416262705
928143833212
1010137200069
1143322044a7
121b6ab17285
13c57257249
146c2478c73
153e4e5ec7e
hex25c3965c5

10137200069 has 2 divisors, whose sum is σ = 10137200070. Its totient is φ = 10137200068.

The previous prime is 10137199987. The next prime is 10137200089. The reversal of 10137200069 is 96000273101.

10137200069 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9739716100 + 397483969 = 98690^2 + 19937^2 .

It is an emirp because it is prime and its reverse (96000273101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10137200069 is a prime.

It is a super-2 number, since 2×101372000692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137200089) 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, 5068600034 + 5068600035.

It is an arithmetic number, because the mean of its divisors is an integer number (5068600035).

Almost surely, 210137200069 is an apocalyptic number.

It is an amenable number.

10137200069 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137200069 is an equidigital number, since it uses as much as digits as its factorization.

10137200069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 10137200069 in words is "ten billion, one hundred thirty-seven million, two hundred thousand, sixty-nine".