Search a number
-
+
20031004412401 is a prime number
BaseRepresentation
bin1001000110111110101001…
…11001110000100111110001
32121220221112010201211211011
410203133110321300213301
510111141444112144101
6110334041050150521
74135122651126523
oct443372471604761
977827463654734
1020031004412401
116423112868a64
1222b6186a22441
13b23bb979c4a8
144d3711c41a13
1524b0bbc63751
hex1237d4e709f1

20031004412401 has 2 divisors, whose sum is σ = 20031004412402. Its totient is φ = 20031004412400.

The previous prime is 20031004412269. The next prime is 20031004412423. The reversal of 20031004412401 is 10421440013002.

It is a happy number.

It is an a-pointer prime, because the next prime (20031004412423) can be obtained adding 20031004412401 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18082914264801 + 1948090147600 = 4252401^2 + 1395740^2 .

It is a cyclic number.

It is not a de Polignac number, because 20031004412401 - 221 = 20031002315249 is a prime.

It is a super-2 number, since 2×200310044124012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20031004412201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10015502206200 + 10015502206201.

It is an arithmetic number, because the mean of its divisors is an integer number (10015502206201).

Almost surely, 220031004412401 is an apocalyptic number.

It is an amenable number.

20031004412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

20031004412401 is an equidigital number, since it uses as much as digits as its factorization.

20031004412401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20031004412401 its reverse (10421440013002), we get a palindrome (30452444425403).

The spelling of 20031004412401 in words is "twenty trillion, thirty-one billion, four million, four hundred twelve thousand, four hundred one".