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220212100202020 = 225174211538438593
BaseRepresentation
bin110010000100100000100000…
…000000011111111000100100
31001212201001220220001012101221
4302010200200000133320210
5212330423340122431040
62100204013043030124
764245541062323353
oct6204404000377044
91055631826035357
10220212100202020
1164191477712443
12208466b696b344
1395b4bb170b024
143c54472dc599a
151a6d34e80e74a
hexc8482001fe24

220212100202020 has 48 divisors (see below), whose sum is σ = 490811141521008. Its totient is φ = 82706458705920.

The previous prime is 220212100201939. The next prime is 220212100202023. The reversal of 220212100202020 is 20202001212022.

It can be written as a sum of positive squares in 8 ways, for example, as 40125738222144 + 180086361979876 = 6334488^2 + 13419626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220212100201985 and 220212100202003.

It is not an unprimeable number, because it can be changed into a prime (220212100202023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769076157 + ... + 769362436.

It is an arithmetic number, because the mean of its divisors is an integer number (10225232115021).

Almost surely, 2220212100202020 is an apocalyptic number.

220212100202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212100202020 is an abundant number, since it is smaller than the sum of its proper divisors (270599041318988).

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

220212100202020 is a wasteful number, since it uses less digits than its factorization.

220212100202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538439040 (or 1538439038 counting only the distinct ones).

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

Adding to 220212100202020 its reverse (20202001212022), we get a palindrome (240414101414042).

The spelling of 220212100202020 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 421 842 1684 2105 4210 7157 8420 14314 28628 35785 71570 143140 1538438593 3076877186 6153754372 7692192965 15384385930 26153456081 30768771860 52306912162 104613824324 130767280405 261534560810 523069121620 647682647653 1295365295306 2590730590612 3238413238265 6476826476530 11010605010101 12953652953060 22021210020202 44042420040404 55053025050505 110106050101010 220212100202020