Search a number
-
+
103546160381 is a prime number
BaseRepresentation
bin110000001101111010…
…1010000010011111101
3100220021022100221210002
41200123311100103331
53144030304113011
6115322441324045
710323653561336
oct1403365202375
9326238327702
10103546160381
113aa06120964
1218099496625
1399c23bb8b1
145023dd728d
152a60713c3b
hex181bd504fd

103546160381 has 2 divisors, whose sum is σ = 103546160382. Its totient is φ = 103546160380.

The previous prime is 103546160329. The next prime is 103546160411. The reversal of 103546160381 is 183061645301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56915644900 + 46630515481 = 238570^2 + 215941^2 .

It is a cyclic number.

It is not a de Polignac number, because 103546160381 - 26 = 103546160317 is a prime.

It is a super-3 number, since 3×1035461603813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103546160581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51773080190 + 51773080191.

It is an arithmetic number, because the mean of its divisors is an integer number (51773080191).

Almost surely, 2103546160381 is an apocalyptic number.

It is an amenable number.

103546160381 is a deficient number, since it is larger than the sum of its proper divisors (1).

103546160381 is an equidigital number, since it uses as much as digits as its factorization.

103546160381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 103546160381 in words is "one hundred three billion, five hundred forty-six million, one hundred sixty thousand, three hundred eighty-one".