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13301201200 = 24527172271231
BaseRepresentation
bin11000110001101000…
…00011100100110000
31021022222120000211111
430120310003210300
5204220101414300
610035510523104
7650421226150
oct143064034460
937288500744
1013301201200
1157061aa371
1226b2666494
13133c900471
14902772760
1552caeb9ba
hex318d03930

13301201200 has 240 divisors, whose sum is σ = 38871512064. Its totient is φ = 4269772800.

The previous prime is 13301201189. The next prime is 13301201201. The reversal of 13301201200 is 210210331.

It is not an unprimeable number, because it can be changed into a prime (13301201201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10804585 + ... + 10805815.

Almost surely, 213301201200 is an apocalyptic number.

13301201200 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 13301201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435756032).

13301201200 is an abundant number, since it is smaller than the sum of its proper divisors (25570310864).

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

13301201200 is a wasteful number, since it uses less digits than its factorization.

13301201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13301201200 its reverse (210210331), we get a palindrome (13511411531).

The spelling of 13301201200 in words is "thirteen billion, three hundred one million, two hundred one thousand, two hundred".