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13300031200 = 2552103916001
BaseRepresentation
bin11000110001011111…
…00101111011100000
31021022220100120220011
430120233211323200
5204214301444300
610035425454304
7650405254111
oct143057457340
937286316804
1013300031200
115705580325
1226b21a1394
13133c5b0a61
1490254a208
1552c969eba
hex318be5ee0

13300031200 has 72 divisors (see below), whose sum is σ = 32501982240. Its totient is φ = 5314560000.

The previous prime is 13300031167. The next prime is 13300031201. The reversal of 13300031200 is 213000331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300031201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 823200 + ... + 839200.

It is an arithmetic number, because the mean of its divisors is an integer number (451416420).

Almost surely, 213300031200 is an apocalyptic number.

13300031200 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 13300031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250991120).

13300031200 is an abundant number, since it is smaller than the sum of its proper divisors (19201951040).

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

13300031200 is a wasteful number, since it uses less digits than its factorization.

13300031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17060 (or 17047 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13300031200 its reverse (213000331), we get a palindrome (13513031531).

The spelling of 13300031200 in words is "thirteen billion, three hundred million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1039 2078 4156 5195 8312 10390 16001 16624 20780 25975 32002 33248 41560 51950 64004 80005 83120 103900 128008 160010 166240 207800 256016 320020 400025 415600 512032 640040 800050 831200 1280080 1600100 2560160 3200200 6400400 12800800 16625039 33250078 66500156 83125195 133000312 166250390 266000624 332500780 415625975 532001248 665001560 831251950 1330003120 1662503900 2660006240 3325007800 6650015600 13300031200