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13233021210000 = 243254263727769
BaseRepresentation
bin1100000010010000110110…
…0001110100110110010000
31201212001202000000111010200
43000210031201310312100
53213302211412210000
644051055505455200
72534024413245564
oct300441541646620
951761660014120
1013233021210000
114242102541799
121598794041500
1374cb3a26bcb7
1433a6a58b96a4
1517e34bab8500
hexc090d874d90

13233021210000 has 600 divisors, whose sum is σ = 46578136725120. Its totient is φ = 3505987584000.

The previous prime is 13233021209971. The next prime is 13233021210007. The reversal of 13233021210000 is 1212033231.

13233021210000 is a `hidden beast` number, since 1 + 323 + 30 + 212 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×132330212100002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13233021210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17208089616 + ... + 17208090384.

Almost surely, 213233021210000 is an apocalyptic number.

13233021210000 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 13233021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23289068362560).

13233021210000 is an abundant number, since it is smaller than the sum of its proper divisors (33345115515120).

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

13233021210000 is a wasteful number, since it uses less digits than its factorization.

13233021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13233021210000 its reverse (1212033231), we get a palindrome (13234233243231).

The spelling of 13233021210000 in words is "thirteen trillion, two hundred thirty-three billion, twenty-one million, two hundred ten thousand".