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138258109 = 1122931241
BaseRepresentation
bin10000011110110…
…10011010111101
3100122011020110201
420033122122331
5240343224414
621415203501
73266113603
oct1017323275
9318136421
10138258109
1171052400
123a376591
132284a542
141450d873
15c210574
hex83da6bd

138258109 has 36 divisors (see below), whose sum is σ = 166406940. Its totient is φ = 114576000.

The previous prime is 138258103. The next prime is 138258119. The reversal of 138258109 is 901852831.

It can be written as a sum of positive squares in 2 ways, for example, as 33605209 + 104652900 = 5797^2 + 10230^2 .

It is not a de Polignac number, because 138258109 - 211 = 138256061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138258103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3372129 + ... + 3372169.

It is an arithmetic number, because the mean of its divisors is an integer number (4622415).

Almost surely, 2138258109 is an apocalyptic number.

It is an amenable number.

138258109 is a deficient number, since it is larger than the sum of its proper divisors (28148831).

138258109 is a wasteful number, since it uses less digits than its factorization.

138258109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 138258109 is about 11758.3208410045. The cubic root of 138258109 is about 517.0869025488.

The spelling of 138258109 in words is "one hundred thirty-eight million, two hundred fifty-eight thousand, one hundred nine".

Divisors: 1 11 29 31 41 121 319 341 451 899 961 1189 1271 3509 3751 4961 9889 10571 13079 13981 27869 36859 39401 108779 116281 143869 153791 306559 405449 433411 1142629 3372149 4459939 4767521 12568919 138258109