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20021021322320 = 245250379995717
BaseRepresentation
bin1001000110101100000011…
…10111010010110001010000
32121212222202101210022202002
410203112001313102301100
510111011022424303240
6110325310310013132
74134320400223604
oct443260167226120
977788671708662
1020021021322320
11641995a653697
1222b425b6471a8
13b22c88452ab5
144d3046041504
1524abd55e5d15
hex123581dd2c50

20021021322320 has 40 divisors (see below), whose sum is σ = 46550738434824. Its totient is φ = 8008087864832.

The previous prime is 20021021322287. The next prime is 20021021322329. The reversal of 20021021322320 is 2322312012002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2706867305536 + 17314154016784 = 1645256^2 + 4161028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20021021322292 and 20021021322301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021021322329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2994899 + ... + 7000818.

Almost surely, 220021021322320 is an apocalyptic number.

20021021322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021021322320 is an abundant number, since it is smaller than the sum of its proper divisors (26529717112504).

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

20021021322320 is a wasteful number, since it uses less digits than its factorization.

20021021322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020767 (or 10020761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20021021322320 its reverse (2322312012002), we get a palindrome (22343333334322).

The spelling of 20021021322320 in words is "twenty trillion, twenty-one billion, twenty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25037 50074 100148 125185 200296 250370 400592 500740 1001480 2002960 9995717 19991434 39982868 49978585 79965736 99957170 159931472 199914340 399828680 799657360 250262766529 500525533058 1001051066116 1251313832645 2002102132232 2502627665290 4004204264464 5005255330580 10010510661160 20021021322320