Search a number
-
+
10530353112 = 2331724673251
BaseRepresentation
bin10011100111010100…
…00110111111011000
31000011212201100211020
421303222012333120
5133031232244422
64500530002440
7521644344636
oct116352067730
930155640736
1010530353112
114514123174
12205a716420
13cba83c196
1471c77a356
1541971e95c
hex273a86fd8

10530353112 has 96 divisors (see below), whose sum is σ = 28034061120. Its totient is φ = 3295552000.

The previous prime is 10530353107. The next prime is 10530353137. The reversal of 10530353112 is 21135303501.

It is a super-2 number, since 2×105303531122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3237487 + ... + 3240737.

It is an arithmetic number, because the mean of its divisors is an integer number (292021470).

Almost surely, 210530353112 is an apocalyptic number.

10530353112 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 10530353112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017030560).

10530353112 is an abundant number, since it is smaller than the sum of its proper divisors (17503708008).

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

10530353112 is a wasteful number, since it uses less digits than its factorization.

10530353112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 10530353112 its reverse (21135303501), we get a palindrome (31665656613).

The spelling of 10530353112 in words is "ten billion, five hundred thirty million, three hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 467 578 867 934 1156 1401 1734 1868 2312 2802 3251 3468 3736 5604 6502 6936 7939 9753 11208 13004 15878 19506 23817 26008 31756 39012 47634 55267 63512 78024 95268 110534 134963 165801 190536 221068 269926 331602 404889 442136 539852 663204 809778 939539 1079704 1326408 1518217 1619556 1879078 2818617 3036434 3239112 3758156 4554651 5637234 6072868 7516312 9109302 11274468 12145736 18218604 22548936 25809689 36437208 51619378 77429067 103238756 154858134 206477512 309716268 438764713 619432536 877529426 1316294139 1755058852 2632588278 3510117704 5265176556 10530353112