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21311203001200 = 2452757175117749
BaseRepresentation
bin1001101100001111001101…
…01011110100001101110000
32210110022221101020101102021
410312013212223310031300
510243130320432014300
6113154122001001224
74326453322443340
oct466074653641560
983408841211367
1021311203001200
11687703756a902
122482306923214
13bb783a3a0b68
1453967963ad20
1526e547598d1a
hex1361e6af4370

21311203001200 has 240 divisors, whose sum is σ = 58698310528000. Its totient is φ = 7283779200000.

The previous prime is 21311203001191. The next prime is 21311203001267. The reversal of 21311203001200 is 210030211312.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200689926 + ... + 1200707674.

Almost surely, 221311203001200 is an apocalyptic number.

21311203001200 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 21311203001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349155264000).

21311203001200 is an abundant number, since it is smaller than the sum of its proper divisors (37387107526800).

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

21311203001200 is a wasteful number, since it uses less digits than its factorization.

21311203001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19096 (or 19085 counting only the distinct ones).

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

Adding to 21311203001200 its reverse (210030211312), we get a palindrome (21521233212512).

The spelling of 21311203001200 in words is "twenty-one trillion, three hundred eleven billion, two hundred three million, one thousand, two hundred".