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100222220201220 = 223251368362708651
BaseRepresentation
bin10110110010011011001101…
…110101010110110100000100
3111010212011001211211101112200
4112302123031311112310010
5101114020101332414340
6553053241412514500
730052550021530065
oct2662331565266404
9433764054741480
10100222220201220
1129a30006574437
12b2a78a291ba30
1343bcbb7ac5280
141aa6ad1dd456c
15b8c02386c330
hex5b26cdd56d04

100222220201220 has 144 divisors (see below), whose sum is σ = 327871936147392. Its totient is φ = 24633964396800.

The previous prime is 100222220201203. The next prime is 100222220201237. The reversal of 100222220201220 is 22102022222001.

100222220201220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 22 + 220 + 201 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (100222220201203) and next prime (100222220201237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100222220201193 and 100222220201202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29756106 + ... + 32952545.

It is an arithmetic number, because the mean of its divisors is an integer number (2276888445468).

Almost surely, 2100222220201220 is an apocalyptic number.

100222220201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222220201220 is an abundant number, since it is smaller than the sum of its proper divisors (227649715946172).

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

100222220201220 is a wasteful number, since it uses less digits than its factorization.

100222220201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62709362 (or 62709357 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222220201220 its reverse (22102022222001), we get a palindrome (122324242423221).

It can be divided in two parts, 1002 and 22220201220, that added together give a palindrome (22220202222).

The spelling of 100222220201220 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 683 780 1170 1366 2049 2340 2732 3415 4098 6147 6830 8196 8879 10245 12294 13660 17758 20490 24588 26637 30735 35516 40980 44395 53274 61470 79911 88790 106548 122940 133185 159822 177580 266370 319644 399555 532740 799110 1598220 62708651 125417302 188125953 250834604 313543255 376251906 564377859 627086510 752503812 815212463 940629765 1128755718 1254173020 1630424926 1881259530 2257511436 2445637389 2821889295 3260849852 3762519060 4076062315 4891274778 5643778590 7336912167 8152124630 9782549556 11287557180 12228186945 14673824334 16304249260 24456373890 29347648668 36684560835 42830008633 48912747780 73369121670 85660017266 128490025899 146738243340 171320034532 214150043165 256980051798 385470077697 428300086330 513960103596 556790112229 642450129495 770940155394 856600172660 1113580224458 1284900258990 1541880310788 1670370336687 1927350388485 2227160448916 2569800517980 2783950561145 3340740673374 3854700776970 5011111010061 5567901122290 6681481346748 7709401553940 8351851683435 10022222020122 11135802244580 16703703366870 20044444040244 25055555050305 33407406733740 50111110100610 100222220201220