Search a number
-
+
431141145521201 is a prime number
BaseRepresentation
bin110001000000111101101111…
…0110100111010110000110001
32002112112200122201120200112022
41202001323132310322300301
5423002304031223134301
64124543301415041225
7156545630335245053
oct14201733664726061
92075480581520468
10431141145521201
11115413a29902815
1240432061370215
1315675587c460cb
1478674b28578d3
1534c9e85c18d1b
hex1881eded3ac31

431141145521201 has 2 divisors, whose sum is σ = 431141145521202. Its totient is φ = 431141145521200.

The previous prime is 431141145521173. The next prime is 431141145521237. The reversal of 431141145521201 is 102125541141134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 341774752096801 + 89366393424400 = 18487151^2 + 9453380^2 .

It is a cyclic number.

It is not a de Polignac number, because 431141145521201 - 242 = 426743099010097 is a prime.

It is a super-2 number, since 2×4311411455212012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431141145511201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215570572760600 + 215570572760601.

It is an arithmetic number, because the mean of its divisors is an integer number (215570572760601).

Almost surely, 2431141145521201 is an apocalyptic number.

It is an amenable number.

431141145521201 is a deficient number, since it is larger than the sum of its proper divisors (1).

431141145521201 is an equidigital number, since it uses as much as digits as its factorization.

431141145521201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 35.

Adding to 431141145521201 its reverse (102125541141134), we get a palindrome (533266686662335).

The spelling of 431141145521201 in words is "four hundred thirty-one trillion, one hundred forty-one billion, one hundred forty-five million, five hundred twenty-one thousand, two hundred one".