Search a number
-
+
10304351561 = 72210292889
BaseRepresentation
bin10011001100010111…
…11110110101001001
3222121010110021222102
421212023332311021
5132100403222221
64422254003145
7513231354200
oct114613766511
928533407872
1010304351561
1144085a0929
121bb6aa64b5
13c82a7cb5a
146da74a237
1540497b30b
hex2662fed49

10304351561 has 6 divisors (see below), whose sum is σ = 11986694730. Its totient is φ = 8832301296.

The previous prime is 10304351549. The next prime is 10304351599. The reversal of 10304351561 is 16515340301.

It can be written as a sum of positive squares in only one way, i.e., 7944335161 + 2360016400 = 89131^2 + 48580^2 .

It is a de Polignac number, because none of the positive numbers 2k-10304351561 is a prime.

It is a super-2 number, since 2×103043515612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10304351501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105146396 + ... + 105146493.

It is an arithmetic number, because the mean of its divisors is an integer number (1997782455).

Almost surely, 210304351561 is an apocalyptic number.

It is an amenable number.

10304351561 is a deficient number, since it is larger than the sum of its proper divisors (1682343169).

10304351561 is an equidigital number, since it uses as much as digits as its factorization.

10304351561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210292903 (or 210292896 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 10304351561 its reverse (16515340301), we get a palindrome (26819691862).

The spelling of 10304351561 in words is "ten billion, three hundred four million, three hundred fifty-one thousand, five hundred sixty-one".

Divisors: 1 7 49 210292889 1472050223 10304351561