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12320321300 = 22527431912143
BaseRepresentation
bin10110111100101100…
…10010111100010100
31011210121212011120022
423132112102330110
5200213000240200
65354311124312
7614211001040
oct133626227424
934717764508
1012320321300
115252555821
12247a073698
131214629061
1484c3a1020
154c1945885
hex2de592f14

12320321300 has 144 divisors (see below), whose sum is σ = 31443320832. Its totient is φ = 4102358400.

The previous prime is 12320321269. The next prime is 12320321303. The reversal of 12320321300 is 312302321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320321303) 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, 5748029 + ... + 5750171.

Almost surely, 212320321300 is an apocalyptic number.

12320321300 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 12320321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721660416).

12320321300 is an abundant number, since it is smaller than the sum of its proper divisors (19122999532).

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

12320321300 is a wasteful number, since it uses less digits than its factorization.

12320321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12320321300 its reverse (312302321), we get a palindrome (12632623621).

The spelling of 12320321300 in words is "twelve billion, three hundred twenty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 191 215 301 350 382 430 602 700 764 860 955 1075 1204 1337 1505 1910 2143 2150 2674 3010 3820 4286 4300 4775 5348 6020 6685 7525 8213 8572 9550 10715 13370 15001 15050 16426 19100 21430 26740 30002 30100 32852 33425 41065 42860 53575 57491 60004 66850 75005 82130 92149 107150 114982 133700 150010 164260 184298 205325 214300 229964 287455 300020 368596 375025 409313 410650 460745 574910 645043 750050 818626 821300 921490 1149820 1290086 1437275 1500100 1637252 1842980 2046565 2303725 2580172 2865191 2874550 3225215 4093130 4607450 5730382 5749100 6450430 8186260 9214900 10232825 11460764 12900860 14325955 16126075 17600459 20465650 28651910 32252150 35200918 40931300 57303820 64504300 70401836 71629775 88002295 123203213 143259550 176004590 246406426 286519100 352009180 440011475 492812852 616016065 880022950 1232032130 1760045900 2464064260 3080080325 6160160650 12320321300