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22020302100 = 22352377127941
BaseRepresentation
bin10100100000100000…
…110010010100010100
32002211122002020201110
4110200200302110110
5330044144131400
614041015255020
71406453323326
oct244040622424
962748066643
1022020302100
11937a982985
12432667a470
1320cc10ca74
1410cc747616
1588d2dde50
hex520832514

22020302100 has 144 divisors (see below), whose sum is σ = 66358002816. Its totient is φ = 5632704000.

The previous prime is 22020302089. The next prime is 22020302141. The reversal of 22020302100 is 120302022.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774130 + ... + 802070.

It is an arithmetic number, because the mean of its divisors is an integer number (460819464).

Almost surely, 222020302100 is an apocalyptic number.

22020302100 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 22020302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33179001408).

22020302100 is an abundant number, since it is smaller than the sum of its proper divisors (44337700716).

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

22020302100 is a wasteful number, since it uses less digits than its factorization.

22020302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28066 (or 28059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22020302100 its reverse (120302022), we get a palindrome (22140604122).

The spelling of 22020302100 in words is "twenty-two billion, twenty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 71 74 75 100 111 142 148 150 185 213 222 284 300 355 370 426 444 555 710 740 852 925 1065 1110 1420 1775 1850 2130 2220 2627 2775 3550 3700 4260 5254 5325 5550 7100 7881 10508 10650 11100 13135 15762 21300 26270 27941 31524 39405 52540 55882 65675 78810 83823 111764 131350 139705 157620 167646 197025 262700 279410 335292 394050 419115 558820 698525 788100 838230 1033817 1397050 1676460 1983811 2067634 2095575 2794100 3101451 3967622 4135268 4191150 5169085 5951433 6202902 7935244 8382300 9919055 10338170 11902866 12405804 15507255 19838110 20676340 23805732 25845425 29757165 31014510 39676220 49595275 51690850 59514330 62029020 73401007 77536275 99190550 103381700 119028660 146802014 148785825 155072550 198381100 220203021 293604028 297571650 310145100 367005035 440406042 595143300 734010070 880812084 1101015105 1468020140 1835025175 2202030210 3670050350 4404060420 5505075525 7340100700 11010151050 22020302100