Search a number
-
+
10230331212 = 22337110312953
BaseRepresentation
bin10011000011100011…
…00111011101001100
3222101222011200011000
421201301213131030
5131422431044322
64411051300300
7511342244343
oct114161473514
928358150130
1010230331212
11437a834292
121b9614a690
13c7063442a
146d099cb5a
153ed2093ac
hex261c6774c

10230331212 has 96 divisors (see below), whose sum is σ = 27159874560. Its totient is φ = 3329182080.

The previous prime is 10230331211. The next prime is 10230331219. The reversal of 10230331212 is 21213303201.

10230331212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10230331211) 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 31 ways as a sum of consecutive naturals, for example, 783328 + ... + 796280.

It is an arithmetic number, because the mean of its divisors is an integer number (282915360).

Almost surely, 210230331212 is an apocalyptic number.

10230331212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579937280).

10230331212 is an abundant number, since it is smaller than the sum of its proper divisors (16929543348).

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

10230331212 is a wasteful number, since it uses less digits than its factorization.

10230331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10230331212 its reverse (21213303201), we get a palindrome (31443634413).

The spelling of 10230331212 in words is "ten billion, two hundred thirty million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 103 108 142 206 213 284 309 412 426 618 639 852 927 1236 1278 1854 1917 2556 2781 3708 3834 5562 7313 7668 11124 12953 14626 21939 25906 29252 38859 43878 51812 65817 77718 87756 116577 131634 155436 197451 233154 263268 349731 394902 466308 699462 789804 919663 1334159 1398924 1839326 2668318 2758989 3678652 4002477 5336636 5517978 8004954 8276967 11035956 12007431 16009908 16553934 24014862 24830901 33107868 36022293 48029724 49661802 72044586 94725289 99323604 144089172 189450578 284175867 378901156 568351734 852527601 1136703468 1705055202 2557582803 3410110404 5115165606 10230331212