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13219200000 = 210355517
BaseRepresentation
bin11000100111110110…
…01111110000000000
31021010021020221100000
430103323033300000
5204033103400000
610023421200000
7645404226456
oct142373176000
937107227300
1013219200000
115673991686
12268b100000
13132891c246
148d59089d6
15525800000
hex313ecfc00

13219200000 has 792 divisors, whose sum is σ = 52387053264. Its totient is φ = 3317760000.

The previous prime is 13219199999. The next prime is 13219200013. The reversal of 13219200000 is 291231.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 777599992 + ... + 777600008.

Almost surely, 213219200000 is an apocalyptic number.

13219200000 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 13219200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26193526632).

13219200000 is an abundant number, since it is smaller than the sum of its proper divisors (39167853264).

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

13219200000 is an frugal number, since it uses more digits than its factorization.

13219200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13219200000 its reverse (291231), we get a palindrome (13219491231).

The spelling of 13219200000 in words is "thirteen billion, two hundred nineteen million, two hundred thousand".