Search a number
-
+
100143310031041 is a prime number
BaseRepresentation
bin10110110001010001101110…
…011010111100100011000001
3111010120121101110102102000011
4112301101232122330203001
5101111221444331443131
6552553111310024521
730044054402252644
oct2661215632744301
9433517343372004
10100143310031041
11299aa5a2866662
12b29453baa8141
1343b56206bcc94
141aa2d67caba5b
15b89e55dc60b1
hex5b146e6bc8c1

100143310031041 has 2 divisors, whose sum is σ = 100143310031042. Its totient is φ = 100143310031040.

The previous prime is 100143310030997. The next prime is 100143310031197. The reversal of 100143310031041 is 140130013341001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75289096871041 + 24854213160000 = 8676929^2 + 4985400^2 .

It is a cyclic number.

It is not a de Polignac number, because 100143310031041 - 213 = 100143310022849 is a prime.

It is not a weakly prime, because it can be changed into another prime (100143310031741) 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, 50071655015520 + 50071655015521.

It is an arithmetic number, because the mean of its divisors is an integer number (50071655015521).

Almost surely, 2100143310031041 is an apocalyptic number.

It is an amenable number.

100143310031041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100143310031041 is an equidigital number, since it uses as much as digits as its factorization.

100143310031041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100143310031041 its reverse (140130013341001), we get a palindrome (240273323372042).

The spelling of 100143310031041 in words is "one hundred trillion, one hundred forty-three billion, three hundred ten million, thirty-one thousand, forty-one".