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21223003020000 = 253544112767931
BaseRepresentation
bin1001101001101010111011…
…00011100101101011100000
32210010220021120102002212220
410310311131203211223200
510240204202233120000
6113045414001151040
74320211541123115
oct464653543455340
983126246362786
1021223003020000
116842696a16561
1224691b092b480
13bac422477382
145352ad81c90c
1526c0d427b1a0
hex134d5d8e5ae0

21223003020000 has 480 divisors, whose sum is σ = 71876221046784. Its totient is φ = 5477875200000.

The previous prime is 21223003019893. The next prime is 21223003020017. The reversal of 21223003020000 is 2030032212.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 312386035 + ... + 312453965.

Almost surely, 221223003020000 is an apocalyptic number.

21223003020000 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 21223003020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35938110523392).

21223003020000 is an abundant number, since it is smaller than the sum of its proper divisors (50653218026784).

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

21223003020000 is a wasteful number, since it uses less digits than its factorization.

21223003020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68132 (or 68109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21223003020000 its reverse (2030032212), we get a palindrome (21225033052212).

The spelling of 21223003020000 in words is "twenty-one trillion, two hundred twenty-three billion, three million, twenty thousand".