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12353312300 = 2252741523823
BaseRepresentation
bin10111000000101000…
…01001011000101100
31011212220221021201012
423200110021120230
5200244421443200
65401450204352
7615061264520
oct134024113054
934786837635
1012353312300
11526a13940a
1224891236b8
13121b40a564
1485290bd80
154c47b0a35
hex2e050962c

12353312300 has 144 divisors (see below), whose sum is σ = 31481651712. Its totient is φ = 4119206400.

The previous prime is 12353312297. The next prime is 12353312311. The reversal of 12353312300 is 321335321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15009689 + ... + 15010511.

Almost surely, 212353312300 is an apocalyptic number.

12353312300 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 12353312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740825856).

12353312300 is an abundant number, since it is smaller than the sum of its proper divisors (19128339412).

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

12353312300 is a wasteful number, since it uses less digits than its factorization.

12353312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 12353312300 its reverse (321335321), we get a palindrome (12674647621).

The spelling of 12353312300 in words is "twelve billion, three hundred fifty-three million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 523 574 700 820 823 1025 1046 1148 1435 1646 2050 2092 2615 2870 3292 3661 4100 4115 5230 5740 5761 7175 7322 8230 10460 11522 13075 14350 14644 16460 18305 20575 21443 23044 26150 28700 28805 33743 36610 41150 42886 52300 57610 67486 73220 82300 85772 91525 107215 115220 134972 144025 150101 168715 183050 214430 236201 288050 300202 337430 366100 428860 430429 472402 536075 576100 600404 674860 750505 843575 860858 944804 1072150 1181005 1501010 1687150 1721716 2144300 2152145 2362010 3002020 3013003 3374300 3752525 4304290 4724020 5905025 6026006 7505050 8608580 10760725 11810050 12052012 15010100 15065015 17647589 21521450 23620100 30130030 35295178 43042900 60260060 70590356 75325075 88237945 123533123 150650150 176475890 247066246 301300300 352951780 441189725 494132492 617665615 882379450 1235331230 1764758900 2470662460 3088328075 6176656150 12353312300