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10314410323 = 717773112129
BaseRepresentation
bin10011001101100100…
…10110100101010011
3222121211101100000011
421212302112211103
5132110442112243
64423253335351
7513413020060
oct114662264523
928554340004
1010314410323
114413241158
121bba337557
13c84b92399
146dbc07c67
154057b689d
hex266c96953

10314410323 has 16 divisors (see below), whose sum is σ = 12497561280. Its totient is φ = 8310030336.

The previous prime is 10314410287. The next prime is 10314410347. The reversal of 10314410323 is 32301441301.

10314410323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10314410323 is a prime.

It is a super-2 number, since 2×103144103232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10314410294 and 10314410303.

It is not an unprimeable number, because it can be changed into a prime (10314410363) 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 15 ways as a sum of consecutive naturals, for example, 35923 + ... + 148051.

It is an arithmetic number, because the mean of its divisors is an integer number (781097580).

Almost surely, 210314410323 is an apocalyptic number.

10314410323 is a deficient number, since it is larger than the sum of its proper divisors (2183150957).

10314410323 is a wasteful number, since it uses less digits than its factorization.

10314410323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112926.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10314410323 its reverse (32301441301), we get a palindrome (42615851624).

The spelling of 10314410323 in words is "ten billion, three hundred fourteen million, four hundred ten thousand, three hundred twenty-three".

Divisors: 1 7 17 119 773 5411 13141 91987 112129 784903 1906193 13343351 86675717 606730019 1473487189 10314410323