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22220102012020 = 225111014097733163
BaseRepresentation
bin1010000110101100001010…
…10010011000110001110100
32220200012222010002001112221
411003112011102120301310
510403023232103341040
6115131435101052124
74452230561533003
oct503260522306164
986605863061487
1022220102012020
1170975463441a0
1225aa4a3257044
13c5246770b433
1456b65c86ac3a
15287ee0ea474a
hex143585498c74

22220102012020 has 192 divisors, whose sum is σ = 51616909774080. Its totient is φ = 7967632896000.

The previous prime is 22220102012011. The next prime is 22220102012023. The reversal of 22220102012020 is 2021020102222.

It is a junction number, because it is equal to n+sod(n) for n = 22220102011985 and 22220102012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220102012023) 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 63 ways as a sum of consecutive naturals, for example, 7025006959 + ... + 7025010121.

It is an arithmetic number, because the mean of its divisors is an integer number (268838071740).

Almost surely, 222220102012020 is an apocalyptic number.

22220102012020 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 22220102012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808454887040).

22220102012020 is an abundant number, since it is smaller than the sum of its proper divisors (29396807762060).

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

22220102012020 is a wasteful number, since it uses less digits than its factorization.

22220102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22220102012020 its reverse (2021020102222), we get a palindrome (24241122114242).

The spelling of 22220102012020 in words is "twenty-two trillion, two hundred twenty billion, one hundred two million, twelve thousand, twenty".