Search a number
-
+
12103010133101 is a prime number
BaseRepresentation
bin1011000000011111001110…
…0111101010010001101101
31120212000222120211001101022
42300013303213222101231
53041243431043224401
641424013542423525
72356261605466166
oct260076347522155
946760876731338
1012103010133101
113946948771508
121435789731ba5
1369a402a20b74
142dbb0872276d
1515ec6155171b
hexb01f39ea46d

12103010133101 has 2 divisors, whose sum is σ = 12103010133102. Its totient is φ = 12103010133100.

The previous prime is 12103010133091. The next prime is 12103010133131. The reversal of 12103010133101 is 10133101030121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10963389832201 + 1139620300900 = 3311101^2 + 1067530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12103010133101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12103010133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12103010133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051505066550 + 6051505066551.

It is an arithmetic number, because the mean of its divisors is an integer number (6051505066551).

Almost surely, 212103010133101 is an apocalyptic number.

It is an amenable number.

12103010133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12103010133101 is an equidigital number, since it uses as much as digits as its factorization.

12103010133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12103010133101 its reverse (10133101030121), we get a palindrome (22236111163222).

The spelling of 12103010133101 in words is "twelve trillion, one hundred three billion, ten million, one hundred thirty-three thousand, one hundred one".