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32213313000000 = 263256111073041
BaseRepresentation
bin1110101001100001111110…
…00101000001001001000000
311020001120012011120202200200
413110300333011001021000
513210240331112000000
6152302331450045200
76533222632441326
oct724607705011100
9136046164522620
1032213313000000
11a29a653430a80
1237431a5419800
1314c8919194482
147d51c0081d16
153ace1eda8500
hex1d4c3f141240

32213313000000 has 1176 divisors, whose sum is σ = 127126404636192. Its totient is φ = 7733760000000.

The previous prime is 32213312999999. The next prime is 32213313000299. The reversal of 32213313000000 is 31331223.

32213313000000 is a `hidden beast` number, since 32 + 2 + 1 + 331 + 300 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10592998480 + ... + 10593001520.

Almost surely, 232213313000000 is an apocalyptic number.

32213313000000 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 32213313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63563202318096).

32213313000000 is an abundant number, since it is smaller than the sum of its proper divisors (94913091636192).

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

32213313000000 is a wasteful number, since it uses less digits than its factorization.

32213313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32213313000000 its reverse (31331223), we get a palindrome (32213344331223).

The spelling of 32213313000000 in words is "thirty-two trillion, two hundred thirteen billion, three hundred thirteen million", and thus it is an aban number.