Search a number
-
+
10305510131 = 74731323739
BaseRepresentation
bin10011001100100000…
…11001101011110011
3222121012122011020102
421212100121223303
5132101202311011
64422334503015
7513244251020
oct114620315363
928535564212
1010305510131
114409212324
121bb7364a6b
13c830972b7
146da96c547
15404b0973b
hex266419af3

10305510131 has 8 divisors (see below), whose sum is σ = 12028316160. Its totient is φ = 8645351688.

The previous prime is 10305510119. The next prime is 10305510167. The reversal of 10305510131 is 13101550301.

10305510131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10305510131 - 26 = 10305510067 is a prime.

It is a super-2 number, since 2×103055101312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10305510331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15661541 + ... + 15662198.

It is an arithmetic number, because the mean of its divisors is an integer number (1503539520).

Almost surely, 210305510131 is an apocalyptic number.

10305510131 is a deficient number, since it is larger than the sum of its proper divisors (1722806029).

10305510131 is an equidigital number, since it uses as much as digits as its factorization.

10305510131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31323793.

The product of its (nonzero) digits is 225, while the sum is 20.

The spelling of 10305510131 in words is "ten billion, three hundred five million, five hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 47 329 31323739 219266173 1472215733 10305510131