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13311211210000 = 24541133132261
BaseRepresentation
bin1100000110110100001000…
…0001000000010100010000
31202010112120012022000220121
43001231002001000110100
53221042330032210000
644151030324520024
72542463136263344
oct301550201002420
952115505260817
1013311211210000
114272286784000
1215ab975850014
1375731b3c21a2
143403a20d7624
151813c6205b1a
hexc1b42040510

13311211210000 has 400 divisors, whose sum is σ = 36592751771136. Its totient is φ = 4684152000000.

The previous prime is 13311211209997. The next prime is 13311211210013. The reversal of 13311211210000 is 1211211331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412593870 + ... + 412626130.

Almost surely, 213311211210000 is an apocalyptic number.

13311211210000 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 13311211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296375885568).

13311211210000 is an abundant number, since it is smaller than the sum of its proper divisors (23281540561136).

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

13311211210000 is an equidigital number, since it uses as much as digits as its factorization.

13311211210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32353 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13311211210000 its reverse (1211211331), we get a palindrome (13312422421331).

The spelling of 13311211210000 in words is "thirteen trillion, three hundred eleven billion, two hundred eleven million, two hundred ten thousand".