Search a number
-
+
42110400311201 is a prime number
BaseRepresentation
bin10011001001100100101110…
…11100111010111110100001
312112002201022012102202101102
421210302113130322332201
521004414044434424301
6225321130103044145
711604242655521225
oct1144622734727641
9175081265382342
1042110400311201
1112465a14183772
12488133ba40655
131a65cbc248b61
14a58223394785
154d05c5017b6b
hex264c9773afa1

42110400311201 has 2 divisors, whose sum is σ = 42110400311202. Its totient is φ = 42110400311200.

The previous prime is 42110400311113. The next prime is 42110400311207. The reversal of 42110400311201 is 10211300401124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41310763749025 + 799636562176 = 6427345^2 + 894224^2 .

It is a cyclic number.

It is not a de Polignac number, because 42110400311201 - 222 = 42110396116897 is a prime.

It is not a weakly prime, because it can be changed into another prime (42110400311207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21055200155600 + 21055200155601.

It is an arithmetic number, because the mean of its divisors is an integer number (21055200155601).

Almost surely, 242110400311201 is an apocalyptic number.

It is an amenable number.

42110400311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42110400311201 is an equidigital number, since it uses as much as digits as its factorization.

42110400311201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 42110400311201 its reverse (10211300401124), we get a palindrome (52321700712325).

The spelling of 42110400311201 in words is "forty-two trillion, one hundred ten billion, four hundred million, three hundred eleven thousand, two hundred one".