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20021321130120 = 233251747531313311
BaseRepresentation
bin1001000110101100100111…
…01110111110000010001000
32121220000112021221010201200
410203112103232332002020
510111012131202130440
6110325400135544200
74134331000443042
oct443262356760210
977800467833650
1020021321130120
116419aa3906732
1222b4323b2b060
13b230055b426b
144d3073ba4a92
1524ac01ab7c30
hex123593bbe088

20021321130120 has 384 divisors, whose sum is σ = 71690445066240. Its totient is φ = 4825248030720.

The previous prime is 20021321130119. The next prime is 20021321130121. The reversal of 20021321130120 is 2103112312002.

20021321130120 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 321 + 1 + 301 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20021321130119) and next prime (20021321130121).

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

It is a junction number, because it is equal to n+sod(n) for n = 20021321130093 and 20021321130102.

It is not an unprimeable number, because it can be changed into a prime (20021321130121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14588265 + ... + 15901575.

It is an arithmetic number, because the mean of its divisors is an integer number (186693867360).

Almost surely, 220021321130120 is an apocalyptic number.

20021321130120 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 20021321130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35845222533120).

20021321130120 is an abundant number, since it is smaller than the sum of its proper divisors (51669123936120).

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

20021321130120 is a wasteful number, since it uses less digits than its factorization.

20021321130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313445 (or 1313438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20021321130120 its reverse (2103112312002), we get a palindrome (22124433442122).

The spelling of 20021321130120 in words is "twenty trillion, twenty-one billion, three hundred twenty-one million, one hundred thirty thousand, one hundred twenty".