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22021211100 = 22352736728573
BaseRepresentation
bin10100100000100100…
…010000001111011100
32002211200210102122010
4110200210100033130
5330044412223400
614041050551220
71406464130430
oct244044201734
962750712563
1022021211100
119380443919
124326a38510
1320cc36a735
1410cc9029c0
1588d41d450
hex5209103dc

22021211100 has 144 divisors (see below), whose sum is σ = 73017771008. Its totient is φ = 5019528960.

The previous prime is 22021211083. The next prime is 22021211117. The reversal of 22021211100 is 111212022.

It is an interprime number because it is at equal distance from previous prime (22021211083) and next prime (22021211117).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756414 + ... + 784986.

Almost surely, 222021211100 is an apocalyptic number.

22021211100 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 22021211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36508885504).

22021211100 is an abundant number, since it is smaller than the sum of its proper divisors (50996559908).

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

22021211100 is a wasteful number, since it uses less digits than its factorization.

22021211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28964 (or 28957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22021211100 its reverse (111212022), we get a palindrome (22132423122).

The spelling of 22021211100 in words is "twenty-two billion, twenty-one million, two hundred eleven 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 84 100 105 140 150 175 210 300 350 367 420 525 700 734 1050 1101 1468 1835 2100 2202 2569 3670 4404 5138 5505 7340 7707 9175 10276 11010 12845 15414 18350 22020 25690 27525 28573 30828 36700 38535 51380 55050 57146 64225 77070 85719 110100 114292 128450 142865 154140 171438 192675 200011 256900 285730 342876 385350 400022 428595 571460 600033 714325 770700 800044 857190 1000055 1200066 1428650 1714380 2000110 2142975 2400132 2857300 3000165 4000220 4285950 5000275 6000330 8571900 10000550 10486291 12000660 15000825 20001100 20972582 30001650 31458873 41945164 52431455 60003300 62917746 73404037 104862910 125835492 146808074 157294365 209725820 220212111 262157275 293616148 314588730 367020185 440424222 524314550 629177460 734040370 786471825 880848444 1048629100 1101060555 1468080740 1572943650 1835100925 2202121110 3145887300 3670201850 4404242220 5505302775 7340403700 11010605550 22021211100