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2020222010100 = 2235271601600881
BaseRepresentation
bin11101011001011110100…
…111011000001011110100
321011010112202010101211010
4131121132213120023310
5231044403313310400
64144024400512220
7265645661516520
oct35313647301364
97133482111733
102020222010100
11709853726328
1228764831b670
13118676c31618
146daca446d80
153783d49e450
hex1d65e9d82f4

2020222010100 has 144 divisors (see below), whose sum is σ = 6684384422016. Its totient is φ = 461475840000.

The previous prime is 2020222010077. The next prime is 2020222010111. The reversal of 2020222010100 is 10102220202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3061660 + ... + 3662540.

It is an arithmetic number, because the mean of its divisors is an integer number (46419336264).

Almost surely, 22020222010100 is an apocalyptic number.

2020222010100 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 2020222010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342192211008).

2020222010100 is an abundant number, since it is smaller than the sum of its proper divisors (4664162411916).

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

2020222010100 is a wasteful number, since it uses less digits than its factorization.

2020222010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602506 (or 602499 counting only the distinct ones).

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

Adding to 2020222010100 its reverse (10102220202), we get a palindrome (2030324230302).

It can be divided in two parts, 202022 and 2010100, that added together give a palindrome (2212122).

The spelling of 2020222010100 in words is "two trillion, twenty billion, two hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1601 2100 3202 4803 6404 8005 9606 11207 16010 19212 22414 24015 32020 33621 40025 44828 48030 56035 67242 80050 96060 112070 120075 134484 160100 168105 224140 240150 280175 336210 480300 560350 600881 672420 840525 1120700 1201762 1681050 1802643 2403524 3004405 3362100 3605286 4206167 6008810 7210572 8412334 9013215 12017620 12618501 15022025 16824668 18026430 21030835 25237002 30044050 36052860 42061670 45066075 50474004 60088100 63092505 84123340 90132150 105154175 126185010 180264300 210308350 252370020 315462525 420616700 630925050 962010481 1261850100 1924020962 2886031443 3848041924 4810052405 5772062886 6734073367 9620104810 11544125772 13468146734 14430157215 19240209620 20202220101 24050262025 26936293468 28860314430 33670366835 40404440202 48100524050 57720628860 67340733670 72150786075 80808880404 96201048100 101011100505 134681467340 144301572150 168351834175 202022201010 288603144300 336703668350 404044402020 505055502525 673407336700 1010111005050 2020222010100