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10320201232 = 24112913714759
BaseRepresentation
bin10011001110010000…
…11100011000010000
3222122020021112122021
421213020130120100
5132113432414412
64424021421224
7513513156145
oct114710343020
928566245567
1010320201232
114416536a30
12200026a814
13c8613c163
146dc8b43cc
1540605c607
hex26721c610

10320201232 has 80 divisors (see below), whose sum is σ = 22731580800. Its totient is φ = 4495877120.

The previous prime is 10320201211. The next prime is 10320201233. The reversal of 10320201232 is 23210202301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10320201233) 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 15 ways as a sum of consecutive naturals, for example, 691869 + ... + 706627.

It is an arithmetic number, because the mean of its divisors is an integer number (284144760).

Almost surely, 210320201232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365790400).

10320201232 is an abundant number, since it is smaller than the sum of its proper divisors (12411379568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10320201232 is a wasteful number, since it uses less digits than its factorization.

10320201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10320201232 its reverse (23210202301), we get a palindrome (33530403533).

The spelling of 10320201232 in words is "ten billion, three hundred twenty million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 137 176 232 274 319 464 548 638 1096 1276 1507 2192 2552 3014 3973 5104 6028 7946 12056 14759 15892 24112 29518 31784 43703 59036 63568 87406 118072 162349 174812 236144 324698 349624 428011 649396 699248 856022 1298792 1712044 2021983 2597584 3424088 4043966 4708121 6848176 8087932 9416242 16175864 18832484 22241813 32351728 37664968 44483626 58637507 75329936 88967252 117275014 177934504 234550028 355869008 469100056 645012577 938200112 1290025154 2580050308 5160100616 10320201232