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21023331120000 = 2732541119913339
BaseRepresentation
bin1001100011110111000000…
…01011101111001110000000
32202102210220002111121222100
410301323200023233032000
510223421240231320000
6112413552431310400
74266612513021636
oct461734013571600
982383802447870
1021023331120000
116775a43381790
12243656707b400
13b96651114211
1452976b147356
15266ce9a16a00
hex131ee02ef380

21023331120000 has 960 divisors, whose sum is σ = 82889904240000. Its totient is φ = 5070574080000.

The previous prime is 21023331119929. The next prime is 21023331120017. The reversal of 21023331120000 is 2113332012.

21023331120000 is a `hidden beast` number, since 210 + 2 + 3 + 331 + 120 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1576073331 + ... + 1576086669.

It is an arithmetic number, because the mean of its divisors is an integer number (86343650250).

Almost surely, 221023331120000 is an apocalyptic number.

21023331120000 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 21023331120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41444952120000).

21023331120000 is an abundant number, since it is smaller than the sum of its proper divisors (61866573120000).

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

21023331120000 is a wasteful number, since it uses less digits than its factorization.

21023331120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13589 (or 13559 counting only the distinct ones).

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

Adding to 21023331120000 its reverse (2113332012), we get a palindrome (21025444452012).

The spelling of 21023331120000 in words is "twenty-one trillion, twenty-three billion, three hundred thirty-one million, one hundred twenty thousand".