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22021321100 = 22521929795059
BaseRepresentation
bin10100100000100100…
…101011000110001100
32002211201000000112012
4110200210223012030
5330044424233400
614041053200352
71406465066222
oct244044530614
962751000465
1022021321100
119380509529
124326a900b8
1320cc3a881c
1410cc930b12
1588d440d35
hex52092b18c

22021321100 has 144 divisors (see below), whose sum is σ = 52704960000. Its totient is φ = 7953603840.

The previous prime is 22021321079. The next prime is 22021321111. The reversal of 22021321100 is 112312022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4350371 + ... + 4355429.

Almost surely, 222021321100 is an apocalyptic number.

22021321100 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 22021321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352480000).

22021321100 is an abundant number, since it is smaller than the sum of its proper divisors (30683638900).

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

22021321100 is a wasteful number, since it uses less digits than its factorization.

22021321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22021321100 its reverse (112312022), we get a palindrome (22133633122).

The spelling of 22021321100 in words is "twenty-two billion, twenty-one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 79 95 100 116 145 158 190 290 316 380 395 475 551 580 725 790 950 1102 1450 1501 1580 1900 1975 2204 2291 2755 2900 3002 3950 4582 5059 5510 6004 7505 7900 9164 10118 11020 11455 13775 15010 20236 22910 25295 27550 30020 37525 43529 45820 50590 55100 57275 75050 87058 96121 101180 114550 126475 146711 150100 174116 192242 217645 229100 252950 293422 384484 399661 435290 480605 505900 586844 733555 799322 870580 961210 1088225 1467110 1598644 1922420 1998305 2176450 2403025 2787509 2934220 3667775 3996610 4352900 4806050 5575018 7335550 7593559 7993220 9612100 9991525 11150036 11590169 13937545 14671100 15187118 19983050 23180338 27875090 30374236 37967795 39966100 46360676 55750180 57950845 69687725 75935590 115901690 139375450 151871180 189838975 220213211 231803380 278750900 289754225 379677950 440426422 579508450 759355900 880852844 1101066055 1159016900 2202132110 4404264220 5505330275 11010660550 22021321100