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20220102202120 = 2355027691005437
BaseRepresentation
bin1001001100011110111000…
…00000100101001100001000
32122121000121200120212100121
410212033130000211030020
510122241232130431440
6111000553044113024
74154565660616102
oct446173400451410
978530550525317
1020220102202120
11649632a613217
12232695b395774
13b38994212762
144dc93002a572
15250e8801334a
hex1263dc025308

20220102202120 has 32 divisors (see below), whose sum is σ = 45495365693400. Its totient is φ = 8088016749568.

The previous prime is 20220102202099. The next prime is 20220102202121. The reversal of 20220102202120 is 2120220102202.

It can be written as a sum of positive squares in 4 ways, for example, as 14549998286916 + 5670103915204 = 3814446^2 + 2381198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20220102202094 and 20220102202103.

It is not an unprimeable number, because it can be changed into a prime (20220102202121) by changing a digit.

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, 19608042 + ... + 20613478.

Almost surely, 220220102202120 is an apocalyptic number.

20220102202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220102202120 is an abundant number, since it is smaller than the sum of its proper divisors (25275263491280).

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

20220102202120 is a wasteful number, since it uses less digits than its factorization.

20220102202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508217 (or 1508213 counting only the distinct ones).

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

Adding to 20220102202120 its reverse (2120220102202), we get a palindrome (22340322304322).

The spelling of 20220102202120 in words is "twenty trillion, two hundred twenty billion, one hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 502769 1005437 1005538 2010874 2011076 2513845 4021748 4022152 5027185 5027690 8043496 10054370 10055380 20108740 20110760 40217480 505502555053 1011005110106 2022010220212 2527512775265 4044020440424 5055025550530 10110051101060 20220102202120