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321213000000 = 26356107071
BaseRepresentation
bin1001010110010011100…
…10010110100101000000
31010201002212221002011210
410223021302112211000
520230321012000000
6403321353210120
732130646310364
oct4531162264500
91121085832153
10321213000000
11114253401162
1252305700940
13243a08ccc09
141179257d2a4
15854eb82350
hex4ac9c96940

321213000000 has 196 divisors, whose sum is σ = 1062341401856. Its totient is φ = 85656000000.

The previous prime is 321212999999. The next prime is 321213000047. The reversal of 321213000000 is 312123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 321213000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2946465 + ... + 3053535.

Almost surely, 2321213000000 is an apocalyptic number.

321213000000 is a gapful number since it is divisible by the number (30) 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 321213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531170700928).

321213000000 is an abundant number, since it is smaller than the sum of its proper divisors (741128401856).

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

321213000000 is an frugal number, since it uses more digits than its factorization.

321213000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107116 (or 107081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 321213000000 its reverse (312123), we get a palindrome (321213312123).

The spelling of 321213000000 in words is "three hundred twenty-one billion, two hundred thirteen million", and thus it is an aban number.