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12323103320 = 2351170139953
BaseRepresentation
bin10110111101000001…
…11010001001011000
31011210211002111210002
423132200322021120
5200214203301240
65354450512132
7614243435633
oct133640721130
934724074702
1012323103320
115254085a10
12247ab95648
131215091418
1484c8c6c1a
154c1ce4d15
hex2de83a258

12323103320 has 64 divisors (see below), whose sum is σ = 30291524640. Its totient is φ = 4474624000.

The previous prime is 12323103269. The next prime is 12323103337. The reversal of 12323103320 is 2330132321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12323103292 and 12323103301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288464 + ... + 328416.

Almost surely, 212323103320 is an apocalyptic number.

12323103320 is a gapful number since it is divisible by the number (10) 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 12323103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145762320).

12323103320 is an abundant number, since it is smaller than the sum of its proper divisors (17968421320).

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

12323103320 is a wasteful number, since it uses less digits than its factorization.

12323103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40676 (or 40672 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12323103320 its reverse (2330132321), we get a palindrome (14653235641).

The spelling of 12323103320 in words is "twelve billion, three hundred twenty-three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1402 2804 3505 5608 7010 7711 14020 15422 28040 30844 38555 39953 61688 77110 79906 154220 159812 199765 308440 319624 399530 439483 799060 878966 1598120 1757932 2197415 3515864 4394830 8789660 17579320 28007053 56014106 112028212 140035265 224056424 280070530 308077583 560141060 616155166 1120282120 1232310332 1540387915 2464620664 3080775830 6161551660 12323103320