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22120200103300 = 225213531631969619
BaseRepresentation
bin1010000011110010000101…
…01010110110010110000100
32220022200002210000021020121
411001321002222312112010
510344404132211301200
6115013514000311324
74442063115366625
oct501710252662604
986280083007217
1022120200103300
117059140316572
122593062312544
13c45c06324790
145668a2861a4c
152855e5693e1a
hex141e42ab6584

22120200103300 has 144 divisors (see below), whose sum is σ = 52991696439360. Its totient is φ = 7964189775360.

The previous prime is 22120200103297. The next prime is 22120200103319. The reversal of 22120200103300 is 330100202122.

It is a super-2 number, since 2×221202001033002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10245891 + ... + 12215509.

It is an arithmetic number, because the mean of its divisors is an integer number (367997891940).

Almost surely, 222120200103300 is an apocalyptic number.

22120200103300 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 22120200103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26495848219680).

22120200103300 is an abundant number, since it is smaller than the sum of its proper divisors (30871496336060).

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

22120200103300 is a wasteful number, since it uses less digits than its factorization.

22120200103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969862 (or 1969855 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22120200103300 its reverse (330100202122), we get a palindrome (22450300305422).

The spelling of 22120200103300 in words is "twenty-two trillion, one hundred twenty billion, two hundred million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 163 212 260 265 325 326 530 650 652 689 815 1060 1300 1325 1378 1630 2119 2650 2756 3260 3445 4075 4238 5300 6890 8150 8476 8639 10595 13780 16300 17225 17278 21190 34450 34556 42380 43195 52975 68900 86390 105950 112307 172780 211900 215975 224614 431950 449228 561535 863900 1123070 1969619 2246140 2807675 3939238 5615350 7878476 9848095 11230700 19696190 25605047 39392380 49240475 51210094 98480950 102420188 104389807 128025235 196961900 208779614 256050470 321047897 417559228 512100940 521949035 640126175 642095794 1043898070 1280252350 1284191588 1357067491 1605239485 2087796140 2560504700 2609745175 2714134982 3210478970 4173622661 5219490350 5428269964 6420957940 6785337455 8026197425 8347245322 10438980700 13570674910 16052394850 16694490644 17015538541 20868113305 27141349820 32104789700 33926687275 34031077082 41736226610 67853374550 68062154164 83472453220 85077692705 104340566525 135706749100 170155385410 208681133050 221202001033 340310770820 417362266100 425388463525 442404002066 850776927050 884808004132 1106010005165 1701553854100 2212020010330 4424040020660 5530050025825 11060100051650 22120200103300