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13231212200 = 23521728313751
BaseRepresentation
bin11000101001010010…
…00100011010101000
31021011002212012222022
430110221010122220
5204044142242300
610024530444012
7645611306453
oct142451043250
937132765868
1013231212200
11567a746618
122693133608
13132b26695b
148d735449a
155268c4285
hex314a446a8

13231212200 has 96 divisors (see below), whose sum is σ = 32689604160. Its totient is φ = 4963200000.

The previous prime is 13231212199. The next prime is 13231212227. The reversal of 13231212200 is 221213231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955325 + ... + 969075.

It is an arithmetic number, because the mean of its divisors is an integer number (340516710).

Almost surely, 213231212200 is an apocalyptic number.

13231212200 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 13231212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16344802080).

13231212200 is an abundant number, since it is smaller than the sum of its proper divisors (19458391960).

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

13231212200 is a wasteful number, since it uses less digits than its factorization.

13231212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14067 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13231212200 its reverse (221213231), we get a palindrome (13452425431).

The spelling of 13231212200 in words is "thirteen billion, two hundred thirty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 283 340 425 566 680 850 1132 1415 1700 2264 2830 3400 4811 5660 7075 9622 11320 13751 14150 19244 24055 27502 28300 38488 48110 55004 56600 68755 96220 110008 120275 137510 192440 233767 240550 275020 343775 467534 481100 550040 687550 935068 962200 1168835 1375100 1870136 2337670 2750200 3891533 4675340 5844175 7783066 9350680 11688350 15566132 19457665 23376700 31132264 38915330 46753400 66156061 77830660 97288325 132312122 155661320 194576650 264624244 330780305 389153300 529248488 661560610 778306600 1323121220 1653901525 2646242440 3307803050 6615606100 13231212200