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2020102200120 = 23352337167118453
BaseRepresentation
bin11101011001010111011…
…110010101101100111000
321011010020101200102102110
4131121113132111230320
5231044132130400440
64144004440532320
7265643005246344
oct35312736255470
97133211612373
102020102200120
117097a2034314
122876141810a0
13118658173044
146dab857a624
1537832bd5080
hex1d657795b38

2020102200120 has 256 divisors, whose sum is σ = 6533657303040. Its totient is φ = 498339883008.

The previous prime is 2020102200107. The next prime is 2020102200121. The reversal of 2020102200120 is 210022010202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2020102200096 and 2020102200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020102200121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16994814 + ... + 17113266.

It is an arithmetic number, because the mean of its divisors is an integer number (25522098840).

Almost surely, 22020102200120 is an apocalyptic number.

2020102200120 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 2020102200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266828651520).

2020102200120 is an abundant number, since it is smaller than the sum of its proper divisors (4513555102920).

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

2020102200120 is a wasteful number, since it uses less digits than its factorization.

2020102200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118694 (or 118690 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2020102200120 its reverse (210022010202), we get a palindrome (2230124210322).

It can be divided in two parts, 2020102 and 200120, that added together give a palindrome (2220222).

The spelling of 2020102200120 in words is "two trillion, twenty billion, one hundred two million, two hundred thousand, one hundred twenty".