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13212213000 = 2335372172311
BaseRepresentation
bin11000100111000001…
…00101111100001000
31021002210002221222020
430103200211330020
5204024311304000
610023011324440
7645260646300
oct142340457410
937083087866
1013212213000
11566aa4a1a8
1226888b0720
131327343c1c
148d4a0a600
15524dbeba0
hex313825f08

13212213000 has 576 divisors, whose sum is σ = 51102679680. Its totient is φ = 2833152000.

The previous prime is 13212212999. The next prime is 13212213013. The reversal of 13212213000 is 31221231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42482845 + ... + 42483155.

It is an arithmetic number, because the mean of its divisors is an integer number (88719930).

Almost surely, 213212213000 is an apocalyptic number.

13212213000 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 13212213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551339840).

13212213000 is an abundant number, since it is smaller than the sum of its proper divisors (37890466680).

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

13212213000 is a wasteful number, since it uses less digits than its factorization.

13212213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13212213000 its reverse (31221231), we get a palindrome (13243434231).

The spelling of 13212213000 in words is "thirteen billion, two hundred twelve million, two hundred thirteen thousand".