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2142126177109 = 191103915716871
BaseRepresentation
bin11111001011000000101…
…010110111101101010101
321120210012110022201101121
4133023000222313231111
5240044033300131414
64320025034123541
7310522612035322
oct37130052675525
97523173281347
102142126177109
1175651a422296
122a71a98805b1
1312700377b119
147597261db49
153aac56d7724
hex1f2c0ab7b55

2142126177109 has 16 divisors (see below), whose sum is σ = 2157099909120. Its totient is φ = 2127195198000.

The previous prime is 2142126177101. The next prime is 2142126177143. The reversal of 2142126177109 is 9017716212412.

It is a cyclic number.

It is not a de Polignac number, because 2142126177109 - 23 = 2142126177101 is a prime.

It is a super-3 number, since 3×21421261771093 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142126177101) 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 in 15 ways as a sum of consecutive naturals, for example, 311759944 + ... + 311766814.

It is an arithmetic number, because the mean of its divisors is an integer number (134818744320).

Almost surely, 22142126177109 is an apocalyptic number.

It is an amenable number.

2142126177109 is a deficient number, since it is larger than the sum of its proper divisors (14973732011).

2142126177109 is a wasteful number, since it uses less digits than its factorization.

2142126177109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 2142126177109 in words is "two trillion, one hundred forty-two billion, one hundred twenty-six million, one hundred seventy-seven thousand, one hundred nine".

Divisors: 1 191 1039 1571 6871 198449 300061 1312361 1632269 7138969 10794341 311763379 1363543079 2061719131 11215320299 2142126177109