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13321221010000 = 245413135328807
BaseRepresentation
bin1100000111011001011010…
…1001010111001001010000
31202011111101210111120002221
43001312112221113021100
53221223330034310000
644155403501350424
72543266163212621
oct301662651271120
952144353446087
1013321221010000
114276552a81992
1215b18a9b68414
13758255131177
14340a7168ba48
151817aed9c61a
hexc1d96a57250

13321221010000 has 200 divisors, whose sum is σ = 32591400963264. Its totient is φ = 5272650240000.

The previous prime is 13321221009949. The next prime is 13321221010021. The reversal of 13321221010000 is 1012212331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 462415597 + ... + 462444403.

Almost surely, 213321221010000 is an apocalyptic number.

13321221010000 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 13321221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295700481632).

13321221010000 is an abundant number, since it is smaller than the sum of its proper divisors (19270179953264).

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

13321221010000 is a wasteful number, since it uses less digits than its factorization.

13321221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29319 (or 29298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13321221010000 its reverse (1012212331), we get a palindrome (13322233222331).

The spelling of 13321221010000 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, ten thousand".