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12323220030 = 23251131339769
BaseRepresentation
bin10110111101000010…
…10110101000111110
31011210211022102212200
423132201112220332
5200214221020110
65354453212330
7614244433122
oct133641265076
934724272780
1012323220030
115254155670
12247b0310a6
131215102594
1484c917582
154c1d196c0
hex2de856a3e

12323220030 has 96 divisors (see below), whose sum is σ = 35065686240. Its totient is φ = 2977827840.

The previous prime is 12323220029. The next prime is 12323220031. The reversal of 12323220030 is 3002232321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12323220029) and next prime (12323220031).

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

It is a junction number, because it is equal to n+sod(n) for n = 12323219985 and 12323220012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323220031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 289986 + ... + 329754.

It is an arithmetic number, because the mean of its divisors is an integer number (365267565).

Almost surely, 212323220030 is an apocalyptic number.

12323220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532843120).

12323220030 is an abundant number, since it is smaller than the sum of its proper divisors (22742466210).

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

12323220030 is a wasteful number, since it uses less digits than its factorization.

12323220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40106 (or 40103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12323220030 its reverse (3002232321), we get a palindrome (15325452351).

The spelling of 12323220030 in words is "twelve billion, three hundred twenty-three million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 313 330 495 626 939 990 1565 1878 2817 3130 3443 4695 5634 6886 9390 10329 14085 17215 20658 28170 30987 34430 39769 51645 61974 79538 103290 119307 154935 198845 238614 309870 357921 397690 437459 596535 715842 874918 1193070 1312377 1789605 2187295 2624754 3579210 3937131 4374590 6561885 7874262 12447697 13123770 19685655 24895394 37343091 39371310 62238485 74686182 112029273 124476970 136924667 186715455 224058546 273849334 373430910 410774001 560146365 684623335 821548002 1120292730 1232322003 1369246670 2053870005 2464644006 4107740010 6161610015 12323220030