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138333961 is a prime number
BaseRepresentation
bin10000011111011…
…00111100001001
3100122022002112001
420033230330021
5240403141321
621420551001
73266551003
oct1017547411
9318262461
10138333961
11710a4397
123a3b2461
1322875c1c
141452d373
15c227c91
hex83ecf09

138333961 has 2 divisors, whose sum is σ = 138333962. Its totient is φ = 138333960.

The previous prime is 138333953. The next prime is 138334013. The reversal of 138333961 is 169333831.

It is a happy number.

138333961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127238400 + 11095561 = 11280^2 + 3331^2 .

It is a cyclic number.

It is not a de Polignac number, because 138333961 - 23 = 138333953 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138333961.

It is not a weakly prime, because it can be changed into another prime (138333901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69166980 + 69166981.

It is an arithmetic number, because the mean of its divisors is an integer number (69166981).

Almost surely, 2138333961 is an apocalyptic number.

It is an amenable number.

138333961 is a deficient number, since it is larger than the sum of its proper divisors (1).

138333961 is an equidigital number, since it uses as much as digits as its factorization.

138333961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34992, while the sum is 37.

The square root of 138333961 is about 11761.5458592823. The cubic root of 138333961 is about 517.1814477090.

It can be divided in two parts, 1383 and 33961, that added together give a square (35344 = 1882).

The spelling of 138333961 in words is "one hundred thirty-eight million, three hundred thirty-three thousand, nine hundred sixty-one".