Search a number
-
+
431141145521113 is a prime number
BaseRepresentation
bin110001000000111101101111…
…0110100111010101111011001
32002112112200122201120200102001
41202001323132310322233121
5423002304031223133423
64124543301415041001
7156545630335244566
oct14201733664725731
92075480581520361
10431141145521113
11115413a29902745
1240432061370161
1315675587c46061
1478674b285786d
1534c9e85c18cad
hex1881eded3abd9

431141145521113 has 2 divisors, whose sum is σ = 431141145521114. Its totient is φ = 431141145521112.

The previous prime is 431141145520999. The next prime is 431141145521123. The reversal of 431141145521113 is 311125541141134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270645008469264 + 160496137051849 = 16451292^2 + 12668707^2 .

It is a cyclic number.

It is not a de Polignac number, because 431141145521113 - 237 = 431003706567641 is a prime.

It is a super-2 number, since 2×4311411455211132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431141145521123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215570572760556 + 215570572760557.

It is an arithmetic number, because the mean of its divisors is an integer number (215570572760557).

Almost surely, 2431141145521113 is an apocalyptic number.

It is an amenable number.

431141145521113 is a deficient number, since it is larger than the sum of its proper divisors (1).

431141145521113 is an equidigital number, since it uses as much as digits as its factorization.

431141145521113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28800, while the sum is 37.

Adding to 431141145521113 its reverse (311125541141134), we get a palindrome (742266686662247).

The spelling of 431141145521113 in words is "four hundred thirty-one trillion, one hundred forty-one billion, one hundred forty-five million, five hundred twenty-one thousand, one hundred thirteen".