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13212200000 = 2655312131
BaseRepresentation
bin11000100111000001…
…00010110001000000
31021002210002022010202
430103200202301000
5204024310400000
610023011144332
7645260563346
oct142340426100
937083068122
1013212200000
11566aa4045a
1226888a50a8
13132733b02c
148d4a05996
15524dbadd5
hex313822c40

13212200000 has 168 divisors, whose sum is σ = 33843333888. Its totient is φ = 5112000000.

The previous prime is 13212199951. The next prime is 13212200003. The reversal of 13212200000 is 221231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13212200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6198935 + ... + 6201065.

It is an arithmetic number, because the mean of its divisors is an integer number (201448416).

Almost surely, 213212200000 is an apocalyptic number.

13212200000 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 13212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921666944).

13212200000 is an abundant number, since it is smaller than the sum of its proper divisors (20631133888).

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

13212200000 is an frugal number, since it uses more digits than its factorization.

13212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 13212200000 its reverse (221231), we get a palindrome (13212421231).

The spelling of 13212200000 in words is "thirteen billion, two hundred twelve million, two hundred thousand".