Search a number
-
+
1012312210141 is a prime number
BaseRepresentation
bin11101011101100101000…
…00100111101011011101
310120202221210000111122001
432232302200213223131
5113041203411211031
62053014431522301
7133065016545301
oct16566240475335
93522853014561
101012312210141
11360356940681
12144239389391
13745cb01499b
1436dd36d5d01
151b4ec608861
hexebb2827add

1012312210141 has 2 divisors, whose sum is σ = 1012312210142. Its totient is φ = 1012312210140.

The previous prime is 1012312210127. The next prime is 1012312210201. The reversal of 1012312210141 is 1410122132101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009612992025 + 2699218116 = 1004795^2 + 51954^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012312210141 - 25 = 1012312210109 is a prime.

It is a super-2 number, since 2×10123122101412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012312213141) 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, 506156105070 + 506156105071.

It is an arithmetic number, because the mean of its divisors is an integer number (506156105071).

Almost surely, 21012312210141 is an apocalyptic number.

It is an amenable number.

1012312210141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012312210141 is an equidigital number, since it uses as much as digits as its factorization.

1012312210141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1012312210141 its reverse (1410122132101), we get a palindrome (2422434342242).

The spelling of 1012312210141 in words is "one trillion, twelve billion, three hundred twelve million, two hundred ten thousand, one hundred forty-one".