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21013301131200 = 26325273725122447
BaseRepresentation
bin1001100011100100010100…
…10110010111011111000000
32202101212000002022101221200
410301302022112113133000
510223240220042144300
6112405213254021200
74266106122356040
oct461621226273700
982355002271850
1021013301131200
116771766744744
122434628047800
13b95713156bc1
14529099019720
1526690e1d3200
hex131c8a5977c0

21013301131200 has 1008 divisors, whose sum is σ = 88015780629504. Its totient is φ = 4654402560000.

The previous prime is 21013301131181. The next prime is 21013301131201. The reversal of 21013301131200 is 213110331012.

21013301131200 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 330 + 1 + 131 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×210133011312002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21013301131201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 936118377 + ... + 936140823.

It is an arithmetic number, because the mean of its divisors is an integer number (87317242688).

Almost surely, 221013301131200 is an apocalyptic number.

21013301131200 is a gapful number since it is divisible by the number (20) 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 21013301131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007890314752).

21013301131200 is an abundant number, since it is smaller than the sum of its proper divisors (67002479498304).

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

21013301131200 is a wasteful number, since it uses less digits than its factorization.

21013301131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22770 (or 22752 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21013301131200 its reverse (213110331012), we get a palindrome (21226411462212).

The spelling of 21013301131200 in words is "twenty-one trillion, thirteen billion, three hundred one million, one hundred thirty-one thousand, two hundred".