Search a number
-
+
10315065715681 is a prime number
BaseRepresentation
bin1001011000011010100111…
…0100111110101111100001
31100112002222122221221020011
42112012221310332233201
52323000223310400211
633534401544444521
72113144641630166
oct226065164765741
940462878857204
1010315065715681
11331765a757511
1211a7166779741
1359a92530189c
142793750c006d
1512d4ba097921
hex961a9d3ebe1

10315065715681 has 2 divisors, whose sum is σ = 10315065715682. Its totient is φ = 10315065715680.

The previous prime is 10315065715657. The next prime is 10315065715693. The reversal of 10315065715681 is 18651756051301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8028948931600 + 2286116784081 = 2833540^2 + 1511991^2 .

It is a cyclic number.

It is not a de Polignac number, because 10315065715681 - 211 = 10315065713633 is a prime.

It is a super-3 number, since 3×103150657156813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10315065715601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5157532857840 + 5157532857841.

It is an arithmetic number, because the mean of its divisors is an integer number (5157532857841).

Almost surely, 210315065715681 is an apocalyptic number.

It is an amenable number.

10315065715681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10315065715681 is an equidigital number, since it uses as much as digits as its factorization.

10315065715681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 10315065715681 in words is "ten trillion, three hundred fifteen billion, sixty-five million, seven hundred fifteen thousand, six hundred eighty-one".