Search a number
-
+
10202164323 = 3131922512887
BaseRepresentation
bin10011000000001100…
…01010110001100011
3222100000011122102220
421200012022301203
5131343223224243
64404203442123
7510550652211
oct114006126143
928300148386
1010202164323
11436594606a
121b88826343
13c67851930
146cad49cb1
153ea9e3783
hex26018ac63

10202164323 has 48 divisors (see below), whose sum is σ = 15527828736. Its totient is φ = 5922072000.

The previous prime is 10202164319. The next prime is 10202164339. The reversal of 10202164323 is 32346120201.

It is not a de Polignac number, because 10202164323 - 22 = 10202164319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202164293 and 10202164302.

It is not an unprimeable number, because it can be changed into a prime (10202164363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532386 + ... + 3535272.

It is an arithmetic number, because the mean of its divisors is an integer number (323496432).

Almost surely, 210202164323 is an apocalyptic number.

10202164323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10202164323 is a deficient number, since it is larger than the sum of its proper divisors (5325664413).

10202164323 is a wasteful number, since it uses less digits than its factorization.

10202164323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10202164323 its reverse (32346120201), we get a palindrome (42548284524).

The spelling of 10202164323 in words is "ten billion, two hundred two million, one hundred sixty-four thousand, three hundred twenty-three".

Divisors: 1 3 13 19 39 57 247 251 361 741 753 1083 2887 3263 4693 4769 8661 9789 14079 14307 37531 54853 61997 90611 112593 164559 185991 271833 713089 724637 1042207 1177943 2139267 2173911 3126621 3533829 9420281 13548691 13768103 28260843 40646073 41304309 178985339 261593957 536956017 784781871 3400721441 10202164323