Search a number
-
+
10204313723 = 291492361563
BaseRepresentation
bin10011000000011100…
…10111100001111011
3222100011012211212022
421200032113201323
5131344301014343
64404321505055
7510605143532
oct114016274173
928304184768
1010204313723
114367083a2a
121b894a218b
13c68125076
146cb349319
153eacba568
hex26039787b

10204313723 has 8 divisors (see below), whose sum is σ = 10627038000. Its totient is φ = 9786312928.

The previous prime is 10204313701. The next prime is 10204313771. The reversal of 10204313723 is 32731340201.

10204313723 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 10204313723 - 218 = 10204051579 is a prime.

It is a super-2 number, since 2×102043137232 (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 = 10204313692 and 10204313701.

It is not an unprimeable number, because it can be changed into a prime (10204313783) 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, 1176461 + ... + 1185102.

It is an arithmetic number, because the mean of its divisors is an integer number (1328379750).

Almost surely, 210204313723 is an apocalyptic number.

10204313723 is a deficient number, since it is larger than the sum of its proper divisors (422724277).

10204313723 is a wasteful number, since it uses less digits than its factorization.

10204313723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361741.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 10204313723 its reverse (32731340201), we get a palindrome (42935653924).

The spelling of 10204313723 in words is "ten billion, two hundred four million, three hundred thirteen thousand, seven hundred twenty-three".

Divisors: 1 29 149 4321 2361563 68485327 351872887 10204313723