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13233330132200 = 23521374211147193
BaseRepresentation
bin1100000010010001111111…
…1100010001010011101000
31201212002112112022100201122
43000210133330101103220
53213303330003212300
644051150303034412
72534035154115443
oct300443774212350
951762475270648
1013233330132200
11424225095a5a2
12159885b59ba08
1374cb89271bb9
1433a6d493265a
1517e368c8ac85
hexc091ff114e8

13233330132200 has 96 divisors (see below), whose sum is σ = 31065715249560. Its totient is φ = 5242208563200.

The previous prime is 13233330132193. The next prime is 13233330132251. The reversal of 13233330132200 is 223103333231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 76880871076 + 13156449261124 = 277274^2 + 3627182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13233330132200.

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, 10961804 + ... + 12108996.

Almost surely, 213233330132200 is an apocalyptic number.

13233330132200 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 13233330132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532857624780).

13233330132200 is an abundant number, since it is smaller than the sum of its proper divisors (17832385117360).

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

13233330132200 is a wasteful number, since it uses less digits than its factorization.

13233330132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147767 (or 1147758 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 13233330132200 its reverse (223103333231), we get a palindrome (13456433465431).

The spelling of 13233330132200 in words is "thirteen trillion, two hundred thirty-three billion, three hundred thirty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 421 548 685 842 1096 1370 1684 2105 2740 3368 3425 4210 5480 6850 8420 10525 13700 16840 21050 27400 42100 57677 84200 115354 230708 288385 461416 576770 1147193 1153540 1441925 2294386 2307080 2883850 4588772 5735965 5767700 9177544 11471930 11535400 22943860 28679825 45887720 57359650 114719300 157165441 229438600 314330882 482968253 628661764 785827205 965936506 1257323528 1571654410 1931873012 2414841265 3143308820 3863746024 3929136025 4829682530 6286617640 7858272050 9659365060 12074206325 15716544100 19318730120 24148412650 31433088200 48296825300 66166650661 96593650600 132333301322 264666602644 330833253305 529333205288 661666506610 1323333013220 1654166266525 2646666026440 3308332533050 6616665066100 13233330132200