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13033303400 = 2352135718779
BaseRepresentation
bin11000010001101100…
…00110110101101000
31020122022110102010202
430020312012311220
5203143011202100
65553140531332
7640656152045
oct141066066550
936568412122
1013033303400
115588a61827
1226389b0b48
1312c9262460
148b8d581cc
1551432e7d5
hex308d86d68

13033303400 has 96 divisors (see below), whose sum is σ = 32694261600. Its totient is φ = 4803321600.

The previous prime is 13033303357. The next prime is 13033303417. The reversal of 13033303400 is 430333031.

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

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, 1480211 + ... + 1488989.

It is an arithmetic number, because the mean of its divisors is an integer number (340565225).

Almost surely, 213033303400 is an apocalyptic number.

13033303400 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 13033303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347130800).

13033303400 is an abundant number, since it is smaller than the sum of its proper divisors (19660958200).

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

13033303400 is a wasteful number, since it uses less digits than its factorization.

13033303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9379 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13033303400 its reverse (430333031), we get a palindrome (13463636431).

The spelling of 13033303400 in words is "thirteen billion, thirty-three million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 571 650 1142 1300 2284 2600 2855 4568 5710 7423 8779 11420 14275 14846 17558 22840 28550 29692 35116 37115 43895 57100 59384 70232 74230 87790 114127 114200 148460 175580 185575 219475 228254 296920 351160 371150 438950 456508 570635 742300 877900 913016 1141270 1484600 1755800 2282540 2853175 4565080 5012809 5706350 10025618 11412700 20051236 22825400 25064045 40102472 50128090 65166517 100256180 125320225 130333034 200512360 250640450 260666068 325832585 501280900 521332136 651665170 1002561800 1303330340 1629162925 2606660680 3258325850 6516651700 13033303400