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1301113200 = 243526716183
BaseRepresentation
bin100110110001101…
…0110100101110000
310100200021101202210
41031203112211300
510131041110300
6333035212120
744146164642
oct11543264560
93320241683
101301113200
11608498672
123038a7040
1317973788a
14c4b30892
1579360050
hex4d8d6970

1301113200 has 120 divisors (see below), whose sum is σ = 4230368128. Its totient is φ = 341763840.

The previous prime is 1301113181. The next prime is 1301113223. The reversal of 1301113200 is 23111031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72309 + ... + 88491.

Almost surely, 21301113200 is an apocalyptic number.

1301113200 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 1301113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115184064).

1301113200 is an abundant number, since it is smaller than the sum of its proper divisors (2929254928).

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

1301113200 is a wasteful number, since it uses less digits than its factorization.

1301113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1301113200 is about 36070.9467577440. The cubic root of 1301113200 is about 1091.7043168907.

Adding to 1301113200 its reverse (23111031), we get a palindrome (1324224231).

The spelling of 1301113200 in words is "one billion, three hundred one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 13400 16080 16183 20100 26800 32366 40200 48549 64732 80400 80915 97098 129464 161830 194196 242745 258928 323660 388392 404575 485490 647320 776784 809150 970980 1084261 1213725 1294640 1618300 1941960 2168522 2427450 3236600 3252783 3883920 4337044 4854900 5421305 6473200 6505566 8674088 9709800 10842610 13011132 16263915 17348176 19419600 21685220 26022264 27106525 32527830 43370440 52044528 54213050 65055660 81319575 86740880 108426100 130111320 162639150 216852200 260222640 325278300 433704400 650556600 1301113200