Search a number
-
+
10121230101361 is a prime number
BaseRepresentation
bin1001001101001000100001…
…0100110010101101110001
31022211120122221001111011111
42103102020110302231301
52311311234401220421
633305343502513321
72063143342245121
oct223221024625561
938746587044144
1010121230101361
113252431594535
12117568b595841
13585574146202
1426dc2799cc81
15128422dccee1
hex93488532b71

10121230101361 has 2 divisors, whose sum is σ = 10121230101362. Its totient is φ = 10121230101360.

The previous prime is 10121230101263. The next prime is 10121230101373. The reversal of 10121230101361 is 16310103212101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8925365376225 + 1195864725136 = 2987535^2 + 1093556^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121230101361 - 27 = 10121230101233 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121230101461) 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, 5060615050680 + 5060615050681.

It is an arithmetic number, because the mean of its divisors is an integer number (5060615050681).

Almost surely, 210121230101361 is an apocalyptic number.

It is an amenable number.

10121230101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121230101361 is an equidigital number, since it uses as much as digits as its factorization.

10121230101361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10121230101361 its reverse (16310103212101), we get a palindrome (26431333313462).

The spelling of 10121230101361 in words is "ten trillion, one hundred twenty-one billion, two hundred thirty million, one hundred one thousand, three hundred sixty-one".