Search a number
-
+
12323001220002 = 23211173673996739
BaseRepresentation
bin1011001101010010110000…
…0111000011101110100010
31121122001211010212011122200
42303110230013003232202
53103400001303020002
642113035243114030
72411210313045324
oct263245407035642
947561733764580
1012323001220002
113a21178a24130
121470344212916
136b5091916a35
14308617849614
15165839a80b1c
hexb352c1c3ba2

12323001220002 has 96 divisors (see below), whose sum is σ = 30848879730240. Its totient is φ = 3513621058560.

The previous prime is 12323001219953. The next prime is 12323001220009. The reversal of 12323001220002 is 20002210032321.

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 (12323001220009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11864949 + ... + 12861687.

It is an arithmetic number, because the mean of its divisors is an integer number (321342497190).

Almost surely, 212323001220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323001220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424439865120).

12323001220002 is an abundant number, since it is smaller than the sum of its proper divisors (18525878510238).

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

12323001220002 is a wasteful number, since it uses less digits than its factorization.

12323001220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000448 (or 1000445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12323001220002 its reverse (20002210032321), we get a palindrome (32325211252323).

The spelling of 12323001220002 in words is "twelve trillion, three hundred twenty-three billion, one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 3673 7346 11019 22038 33057 40403 62441 66114 80806 121209 124882 187323 242418 363627 374646 561969 686851 727254 996739 1123938 1373702 1993478 2060553 2990217 4121106 5980434 6181659 8970651 10964129 12363318 16944563 17941302 21928258 32892387 33889126 50833689 65784774 98677161 101667378 152501067 186390193 197354322 305002134 372780386 559170579 1118341158 1677511737 3355023474 3661022347 7322044694 10983067041 21966134082 32949201123 40271245817 62237379899 65898402246 80542491634 120813737451 124474759798 186712139697 241627474902 362441212353 373424279394 560136419091 684611178889 724882424706 1120272838182 1369222357778 2053833536667 4107667073334 6161500610001 12323001220002