Search a number
-
+
10320005135 = 5111971367379
BaseRepresentation
bin10011001110001111…
…01100100000001111
3222122012220120122102
421213013230200033
5132113410131020
64424013305315
7513511411346
oct114707544017
928565816572
1010320005135
114416412670
12200019523b
13c860a0b1b
146dc862b5d
1540601e475
hex2671ec80f

10320005135 has 64 divisors (see below), whose sum is σ = 14498611200. Its totient is φ = 6972739200.

The previous prime is 10320005123. The next prime is 10320005153. The reversal of 10320005135 is 53150002301.

10320005135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10320005135 - 210 = 10320004111 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27229376 + ... + 27229754.

It is an arithmetic number, because the mean of its divisors is an integer number (226540800).

Almost surely, 210320005135 is an apocalyptic number.

10320005135 is a deficient number, since it is larger than the sum of its proper divisors (4178606065).

10320005135 is a wasteful number, since it uses less digits than its factorization.

10320005135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 10320005135 its reverse (53150002301), we get a palindrome (63470007436).

The spelling of 10320005135 in words is "ten billion, three hundred twenty million, five thousand, one hundred thirty-five".

Divisors: 1 5 11 19 55 71 95 209 355 367 379 781 1045 1349 1835 1895 3905 4037 4169 6745 6973 7201 14839 20185 20845 26057 26909 34865 36005 74195 76703 79211 130285 134545 139093 286627 295999 383515 396055 495083 511271 695465 1433135 1479995 1530023 2475415 2556355 2642767 5445913 5623981 7650115 9875603 13213835 27229565 28119905 29070437 49378015 108631633 145352185 187636457 543158165 938182285 2064001027 10320005135