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13133212200 = 2332528838263
BaseRepresentation
bin11000011101100110…
…01110101000101000
31020220021110022020200
430032303032220220
5203344100242300
610011110152200
7643311314253
oct141663165050
936807408220
1013133212200
11562a3a0789
122666352660
131313b735a4
148c832409a
1551ceb7200
hex30eccea28

13133212200 has 144 divisors (see below), whose sum is σ = 44160997920. Its totient is φ = 3497800320.

The previous prime is 13133212193. The next prime is 13133212229. The reversal of 13133212200 is 221233131.

13133212200 is a `hidden beast` number, since 131 + 332 + 1 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1585269 + ... + 1593531.

Almost surely, 213133212200 is an apocalyptic number.

13133212200 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 13133212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080498960).

13133212200 is an abundant number, since it is smaller than the sum of its proper divisors (31027785720).

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

13133212200 is a wasteful number, since it uses less digits than its factorization.

13133212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9156 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13133212200 its reverse (221233131), we get a palindrome (13354445331).

The spelling of 13133212200 in words is "thirteen billion, one hundred thirty-three million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 883 900 1766 1800 2649 3532 4415 5298 7064 7947 8263 8830 10596 13245 15894 16526 17660 21192 22075 24789 26490 31788 33052 35320 39735 41315 44150 49578 52980 63576 66104 66225 74367 79470 82630 88300 99156 105960 123945 132450 148734 158940 165260 176600 198312 198675 206575 247890 264900 297468 317880 330520 371835 397350 413150 495780 529800 594936 619725 743670 794700 826300 991560 1239450 1487340 1589400 1652600 1859175 2478900 2974680 3718350 4957800 7296229 7436700 14592458 14873400 21888687 29184916 36481145 43777374 58369832 65666061 72962290 87554748 109443435 131332122 145924580 175109496 182405725 218886870 262664244 291849160 328330305 364811450 437773740 525328488 547217175 656660610 729622900 875547480 1094434350 1313321220 1459245800 1641651525 2188868700 2626642440 3283303050 4377737400 6566606100 13133212200