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12332013030 = 2325597013313
BaseRepresentation
bin10110111110000101…
…11001010111100110
31011211102212011121100
423133002321113212
5200223443404110
65355405500530
7614412244521
oct133702712746
934742764540
1012332013030
115259110a07
122481b71746
131216b9093c
1484db65bb8
154c29a4bc0
hex2df0b95e6

12332013030 has 96 divisors (see below), whose sum is σ = 32663049120. Its totient is φ = 3227212800.

The previous prime is 12332013019. The next prime is 12332013077. The reversal of 12332013030 is 3031023321.

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 = 12332012994 and 12332013012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3720654 + ... + 3723966.

It is an arithmetic number, because the mean of its divisors is an integer number (340240095).

Almost surely, 212332013030 is an apocalyptic number.

12332013030 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 12332013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331524560).

12332013030 is an abundant number, since it is smaller than the sum of its proper divisors (20331036090).

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

12332013030 is a wasteful number, since it uses less digits than its factorization.

12332013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12332013030 its reverse (3031023321), we get a palindrome (15363036351).

The spelling of 12332013030 in words is "twelve billion, three hundred thirty-two million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 701 885 1062 1402 1770 2103 2655 3313 3505 4206 5310 6309 6626 7010 9939 10515 12618 16565 19878 21030 29817 31545 33130 41359 49695 59634 63090 82718 99390 124077 149085 195467 206795 248154 298170 372231 390934 413590 586401 620385 744462 977335 1172802 1240770 1759203 1861155 1954670 2322413 2932005 3518406 3722310 4644826 5864010 6967239 8796015 11612065 13934478 17592030 20901717 23224130 34836195 41803434 69672390 104508585 137022367 209017170 274044734 411067101 685111835 822134202 1233201303 1370223670 2055335505 2466402606 4110671010 6166006515 12332013030