Search a number
-
+
121130011233037 is a prime number
BaseRepresentation
bin11011100010101011000111…
…010010101000101100001101
3120212212220201202021101212201
4123202223013102220230031
5111334043230333424122
61105342205311201501
734341232412164012
oct3342530722505415
9525786652241781
10121130011233037
1135660a49540834
1211703983816291
135278684a00bb1
1421caa1c267709
15e00d09beda27
hex6e2ac74a8b0d

121130011233037 has 2 divisors, whose sum is σ = 121130011233038. Its totient is φ = 121130011233036.

The previous prime is 121130011232959. The next prime is 121130011233043. The reversal of 121130011233037 is 730332110031121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66128594538601 + 55001416694436 = 8131949^2 + 7416294^2 .

It is a cyclic number.

It is not a de Polignac number, because 121130011233037 - 223 = 121130002844429 is a prime.

It is a super-2 number, since 2×1211300112330372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121130011232996 and 121130011233014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121130011233937) 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, 60565005616518 + 60565005616519.

It is an arithmetic number, because the mean of its divisors is an integer number (60565005616519).

Almost surely, 2121130011233037 is an apocalyptic number.

It is an amenable number.

121130011233037 is a deficient number, since it is larger than the sum of its proper divisors (1).

121130011233037 is an equidigital number, since it uses as much as digits as its factorization.

121130011233037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 121130011233037 its reverse (730332110031121), we get a palindrome (851462121264158).

The spelling of 121130011233037 in words is "one hundred twenty-one trillion, one hundred thirty billion, eleven million, two hundred thirty-three thousand, thirty-seven".