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138349211 = 71113413371
BaseRepresentation
bin10000011111100…
…00101010011011
3100122022212102212
420033300222123
5240404133321
621421145335
73266643320
oct1017605233
9318285385
10138349211
11711048a0
123a3bb24b
132287cb50
1414534b47
15c22c55b
hex83f0a9b

138349211 has 32 divisors (see below), whose sum is σ = 190342656. Its totient is φ = 97056000.

The previous prime is 138349207. The next prime is 138349219. The reversal of 138349211 is 112943831.

138349211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138349211 - 22 = 138349207 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (138349219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39356 + ... + 42726.

It is an arithmetic number, because the mean of its divisors is an integer number (5948208).

Almost surely, 2138349211 is an apocalyptic number.

138349211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138349211 is a deficient number, since it is larger than the sum of its proper divisors (51993445).

138349211 is a wasteful number, since it uses less digits than its factorization.

138349211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443.

The product of its digits is 5184, while the sum is 32.

The square root of 138349211 is about 11762.1941405505. The cubic root of 138349211 is about 517.2004517848.

The spelling of 138349211 in words is "one hundred thirty-eight million, three hundred forty-nine thousand, two hundred eleven".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3371 3731 5863 23597 37081 41041 43823 138211 259567 306761 482053 967477 1520321 1796743 3374371 10642247 12577201 19764173 138349211