Search a number
-
+
464083000321 is a prime number
BaseRepresentation
bin1101100000011011000…
…00001001110000000001
31122100212202001002020011
412300031200021300001
530100420222002241
6553110301144521
745346260262513
oct6601540116001
91570782032204
10464083000321
111698a8833a96
1275b3855b141
13349bbc5ab45
1418667013bb3
15c112819281
hex6c0d809c01

464083000321 has 2 divisors, whose sum is σ = 464083000322. Its totient is φ = 464083000320.

The previous prime is 464083000309. The next prime is 464083000327. The reversal of 464083000321 is 123000380464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317914417921 + 146168582400 = 563839^2 + 382320^2 .

It is a cyclic number.

It is not a de Polignac number, because 464083000321 - 211 = 464082998273 is a prime.

It is a super-2 number, since 2×4640830003212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (464083000327) 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, 232041500160 + 232041500161.

It is an arithmetic number, because the mean of its divisors is an integer number (232041500161).

Almost surely, 2464083000321 is an apocalyptic number.

It is an amenable number.

464083000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

464083000321 is an equidigital number, since it uses as much as digits as its factorization.

464083000321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 464083000321 its reverse (123000380464), we get a palindrome (587083380785).

The spelling of 464083000321 in words is "four hundred sixty-four billion, eighty-three million, three hundred twenty-one", and thus it is an aban number.