Search a number
-
+
100024031441 is a prime number
BaseRepresentation
bin101110100100111100…
…1011001100011010001
3100120011211212021012002
41131021321121203101
53114322123001231
6113541142043345
710140455145005
oct1351171314321
9316154767162
10100024031441
1139468a5a2a4
1217475a19555
1395807a4b29
144bac318705
1529063d50cb
hex1749e598d1

100024031441 has 2 divisors, whose sum is σ = 100024031442. Its totient is φ = 100024031440.

The previous prime is 100024031417. The next prime is 100024031447. The reversal of 100024031441 is 144130420001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97924559041 + 2099472400 = 312929^2 + 45820^2 .

It is a cyclic number.

It is not a de Polignac number, because 100024031441 - 26 = 100024031377 is a prime.

It is not a weakly prime, because it can be changed into another prime (100024031447) 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, 50012015720 + 50012015721.

It is an arithmetic number, because the mean of its divisors is an integer number (50012015721).

Almost surely, 2100024031441 is an apocalyptic number.

It is an amenable number.

100024031441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100024031441 is an equidigital number, since it uses as much as digits as its factorization.

100024031441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100024031441 its reverse (144130420001), we get a palindrome (244154451442).

The spelling of 100024031441 in words is "one hundred billion, twenty-four million, thirty-one thousand, four hundred forty-one".