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20021302202220 = 2232511109401323117
BaseRepresentation
bin1001000110101100100101…
…00110110000111101101100
32121220000110222022111112100
410203112102212300331230
510111012111330432340
6110325354222135100
74134330350530464
oct443262246607554
977800428274470
1020021302202220
116419a94158940
1222b4319721490
13b230016b7b17
144d3071478ba4
1524ac000c9830
hex1235929b0f6c

20021302202220 has 288 divisors, whose sum is σ = 66879682309440. Its totient is φ = 4807713761280.

The previous prime is 20021302202207. The next prime is 20021302202249. The reversal of 20021302202220 is 2220220312002.

20021302202220 is a `hidden beast` number, since 200 + 21 + 3 + 0 + 220 + 2 + 220 = 666.

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 = 20021302202193 and 20021302202202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866074102 + ... + 866097218.

It is an arithmetic number, because the mean of its divisors is an integer number (232221119130).

Almost surely, 220021302202220 is an apocalyptic number.

20021302202220 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 20021302202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33439841154720).

20021302202220 is an abundant number, since it is smaller than the sum of its proper divisors (46858380107220).

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

20021302202220 is a wasteful number, since it uses less digits than its factorization.

20021302202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27265 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20021302202220 its reverse (2220220312002), we get a palindrome (22241522514222).

The spelling of 20021302202220 in words is "twenty trillion, twenty-one billion, three hundred two million, two hundred two thousand, two hundred twenty".