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22002020100 = 223252181113499
BaseRepresentation
bin10100011111011011…
…000010111100000100
32002210100200102112100
4110133123002330010
5330030004120400
614035123352100
71406142041124
oct243733027404
962710612470
1022002020100
119370626395
124320522630
1320c83ab608
1410ca148c84
1588b8cc100
hex51f6c2f04

22002020100 has 108 divisors (see below), whose sum is σ = 69007302000. Its totient is φ = 5863531200.

The previous prime is 22002020093. The next prime is 22002020137. The reversal of 22002020100 is 102020022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1623151 + ... + 1636649.

It is an arithmetic number, because the mean of its divisors is an integer number (638956500).

Almost surely, 222002020100 is an apocalyptic number.

22002020100 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 22002020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34503651000).

22002020100 is an abundant number, since it is smaller than the sum of its proper divisors (47005281900).

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

22002020100 is a wasteful number, since it uses less digits than its factorization.

22002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22002020100 its reverse (102020022), we get a palindrome (22104040122).

The spelling of 22002020100 in words is "twenty-two billion, two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1811 3622 5433 7244 9055 10866 13499 16299 18110 21732 26998 27165 32598 36220 40497 45275 53996 54330 65196 67495 80994 81495 90550 108660 121491 134990 135825 161988 162990 181100 202485 242982 269980 271650 325980 337475 404970 407475 485964 543300 607455 674950 809940 814950 1012425 1214910 1349900 1629900 2024850 2429820 3037275 4049700 6074550 12149100 24446689 48893378 73340067 97786756 122233445 146680134 220020201 244466890 293360268 366700335 440040402 488933780 611167225 733400670 880080804 1100101005 1222334450 1466801340 1833501675 2200202010 2444668900 3667003350 4400404020 5500505025 7334006700 11001010050 22002020100