Search a number
-
+
138773000321 is a prime number
BaseRepresentation
bin1000000100111110000…
…0111111000010000001
3111021012022212211121122
42001033200333002001
54233201342002241
6143430151002025
713011632016524
oct2011740770201
9437168784548
10138773000321
115394281711a
1222a8a969315
1310117606397
146a066b0bbb
15392315104b
hex204f83f081

138773000321 has 2 divisors, whose sum is σ = 138773000322. Its totient is φ = 138773000320.

The previous prime is 138773000287. The next prime is 138773000357. The reversal of 138773000321 is 123000377831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137760487921 + 1012512400 = 371161^2 + 31820^2 .

It is a cyclic number.

It is not a de Polignac number, because 138773000321 - 222 = 138768806017 is a prime.

It is a super-2 number, since 2×1387730003212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (138773000381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69386500160 + 69386500161.

It is an arithmetic number, because the mean of its divisors is an integer number (69386500161).

Almost surely, 2138773000321 is an apocalyptic number.

It is an amenable number.

138773000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

138773000321 is an equidigital number, since it uses as much as digits as its factorization.

138773000321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 138773000321 in words is "one hundred thirty-eight billion, seven hundred seventy-three million, three hundred twenty-one", and thus it is an aban number.