Search a number
-
+
2430785801 is a prime number
BaseRepresentation
bin1001000011100010…
…1101100100001001
320021101221201020202
42100320231210021
514434240121201
61041112101545
7114144224033
oct22070554411
96241851222
102430785801
11103812a394
1257a0948b5
132c97a74c2
14190b94c53
15e3607c6b
hex90e2d909

2430785801 has 2 divisors, whose sum is σ = 2430785802. Its totient is φ = 2430785800.

The previous prime is 2430785789. The next prime is 2430785803. The reversal of 2430785801 is 1085870342.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2103139600 + 327646201 = 45860^2 + 18101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2430785801 - 214 = 2430769417 is a prime.

It is a super-2 number, since 2×24307858012 = 11817439220686423202, which contains 22 as substring.

Together with 2430785803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2430785803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215392900 + 1215392901.

It is an arithmetic number, because the mean of its divisors is an integer number (1215392901).

Almost surely, 22430785801 is an apocalyptic number.

It is an amenable number.

2430785801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2430785801 is an equidigital number, since it uses as much as digits as its factorization.

2430785801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 2430785801 is about 49302.9999188690. Note that the first 4 decimals coincide. The cubic root of 2430785801 is about 1344.5663257290.

The spelling of 2430785801 in words is "two billion, four hundred thirty million, seven hundred eighty-five thousand, eight hundred one".