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21220232742000 = 243453971350403
BaseRepresentation
bin1001101001100101110000…
…11011110100010001110000
32210010122010111122101220000
410310302320123310101300
510240133014040221000
6113044235040350000
74320053102134635
oct464627033642160
983118114571800
1021220232742000
1168414a5199706
122468759015300
13bac0a0555716
145350c993418c
1526bec0e63000
hex134cb86f4470

21220232742000 has 400 divisors, whose sum is σ = 77439306296352. Its totient is φ = 5600387174400.

The previous prime is 21220232741999. The next prime is 21220232742001. The reversal of 21220232742000 is 24723202212.

21220232742000 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 232 + 7 + 420 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21220232741999) and next prime (21220232742001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220232742001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15038799 + ... + 16389201.

Almost surely, 221220232742000 is an apocalyptic number.

21220232742000 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 21220232742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38719653148176).

21220232742000 is an abundant number, since it is smaller than the sum of its proper divisors (56219073554352).

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

21220232742000 is a wasteful number, since it uses less digits than its factorization.

21220232742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350535 (or 1350510 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 21220232742000 its reverse (24723202212), we get a palindrome (21244955944212).

The spelling of 21220232742000 in words is "twenty-one trillion, two hundred twenty billion, two hundred thirty-two million, seven hundred forty-two thousand".