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13404321200 = 2452436191259
BaseRepresentation
bin11000111101111010…
…11011010110110000
31021121011121001212202
430132331123112300
5204423001234300
610054033042332
7653112564434
oct143675332660
937534531782
1013404321200
115759431a06
1227210b63a8
13135809710a
149123369c4
15536bbaad5
hex31ef5b5b0

13404321200 has 120 divisors (see below), whose sum is σ = 33032260800. Its totient is φ = 5224423680.

The previous prime is 13404321173. The next prime is 13404321209. The reversal of 13404321200 is 212340431.

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

It is not an unprimeable number, because it can be changed into a prime (13404321209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10646171 + ... + 10647429.

It is an arithmetic number, because the mean of its divisors is an integer number (275268840).

Almost surely, 213404321200 is an apocalyptic number.

13404321200 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 13404321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516130400).

13404321200 is an abundant number, since it is smaller than the sum of its proper divisors (19627939600).

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

13404321200 is a wasteful number, since it uses less digits than its factorization.

13404321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13404321200 its reverse (212340431), we get a palindrome (13616661631).

The spelling of 13404321200 in words is "thirteen billion, four hundred four million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 619 688 860 1075 1238 1259 1720 2150 2476 2518 3095 3440 4300 4952 5036 6190 6295 8600 9904 10072 12380 12590 15475 17200 20144 24760 25180 26617 30950 31475 49520 50360 53234 54137 61900 62950 100720 106468 108274 123800 125900 133085 212936 216548 247600 251800 266170 270685 425872 433096 503600 532340 541370 665425 779321 866192 1064680 1082740 1330850 1353425 1558642 2129360 2165480 2661700 2706850 3117284 3896605 4330960 5323400 5413700 6234568 7793210 10646800 10827400 12469136 15586420 19483025 21654800 31172840 33510803 38966050 62345680 67021606 77932100 134043212 155864200 167554015 268086424 311728400 335108030 536172848 670216060 837770075 1340432120 1675540150 2680864240 3351080300 6702160600 13404321200