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22020221000100 = 223521012393040753
BaseRepresentation
bin1010000000110111110110…
…11100110101100110100100
32212222010001001200121000110
411000123323130311212210
510341234403034000400
6114455541101213020
74431623414134011
oct500337334654644
985863031617013
1022020221000100
11701a7a5763554
1225777bb561170
13c39661c5070b
14561ada4c0708
15282be31d5e50
hex1406fb7359a4

22020221000100 has 144 divisors (see below), whose sum is σ = 64611887074560. Its totient is φ = 5789591808000.

The previous prime is 22020221000083. The next prime is 22020221000119. The reversal of 22020221000100 is 100012202022.

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

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, 5721324 + ... + 8762076.

It is an arithmetic number, because the mean of its divisors is an integer number (448693660240).

Almost surely, 222020221000100 is an apocalyptic number.

22020221000100 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 22020221000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32305943537280).

22020221000100 is an abundant number, since it is smaller than the sum of its proper divisors (42591666074460).

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

22020221000100 is a wasteful number, since it uses less digits than its factorization.

22020221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041110 (or 3041103 counting only the distinct ones).

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

Adding to 22020221000100 its reverse (100012202022), we get a palindrome (22120233202122).

The spelling of 22020221000100 in words is "twenty-two trillion, twenty billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 239 300 303 404 478 505 606 717 956 1010 1195 1212 1434 1515 2020 2390 2525 2868 3030 3585 4780 5050 5975 6060 7170 7575 10100 11950 14340 15150 17925 23900 24139 30300 35850 48278 71700 72417 96556 120695 144834 241390 289668 362085 482780 603475 724170 1206950 1448340 1810425 2413900 3040753 3620850 6081506 7241700 9122259 12163012 15203765 18244518 30407530 36489036 45611295 60815060 76018825 91222590 152037650 182445180 228056475 304075300 307116053 456112950 614232106 726739967 912225900 921348159 1228464212 1453479934 1535580265 1842696318 2180219901 2906959868 3071160530 3633699835 3685392636 4360439802 4606740795 6142321060 7267399670 7677901325 8720879604 9213481590 10901099505 14534799340 15355802650 18168499175 18426963180 21802199010 23033703975 30711605300 36336998350 43604398020 46067407950 54505497525 72673996700 73400736667 92134815900 109010995050 146801473334 218021990100 220202210001 293602946668 367003683335 440404420002 734007366670 880808840004 1101011050005 1468014733340 1835018416675 2202022100010 3670036833350 4404044200020 5505055250025 7340073666700 11010110500050 22020221000100