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2102022120020 = 225293624176069
BaseRepresentation
bin11110100101101010010…
…010000010001001010100
321102221200112110112101212
4132211222102002021110
5233414420130320040
64245353341040552
7304603032134144
oct36455222021124
97387615415355
102102022120020
1174050a761659
1229b476b56158
131232b1c94524
1473a4a2c6924
1539a299e8d65
hex1e96a482254

2102022120020 has 24 divisors (see below), whose sum is σ = 4566461848200. Its totient is φ = 811815439232.

The previous prime is 2102022119987. The next prime is 2102022120041. The reversal of 2102022120020 is 200212202012.

It can be written as a sum of positive squares in 4 ways, for example, as 2867388304 + 2099154731716 = 53548^2 + 1448846^2 .

It is a super-3 number, since 3×21020221200203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102022119977 and 2102022120004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1812087455 + ... + 1812088614.

It is an arithmetic number, because the mean of its divisors is an integer number (190269243675).

Almost surely, 22102022120020 is an apocalyptic number.

2102022120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102022120020 is an abundant number, since it is smaller than the sum of its proper divisors (2464439728180).

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

2102022120020 is a wasteful number, since it uses less digits than its factorization.

2102022120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624176107 (or 3624176105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102022120020 its reverse (200212202012), we get a palindrome (2302234322032).

The spelling of 2102022120020 in words is "two trillion, one hundred two billion, twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3624176069 7248352138 14496704276 18120880345 36241760690 72483521380 105101106001 210202212002 420404424004 525505530005 1051011060010 2102022120020