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22001221100100 = 223521137180190181
BaseRepresentation
bin1010000000010100011101…
…11101111110001001000100
32212220021222221000200001110
411000022032331332021010
510340432000100200400
6114443115455325020
74430351524505364
oct500121675761104
985807887020043
1022001221100100
117012735816460
122573b98520770
13c37924819638
14560c16d709a4
1528248016ae50
hex14028ef7e244

22001221100100 has 144 divisors (see below), whose sum is σ = 71320715557056. Its totient is φ = 5189477184000.

The previous prime is 22001221100099. The next prime is 22001221100113. The reversal of 22001221100100 is 100112210022.

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

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, 89972991 + ... + 90217190.

It is an arithmetic number, because the mean of its divisors is an integer number (495282746924).

Almost surely, 222001221100100 is an apocalyptic number.

22001221100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001221100100 is an abundant number, since it is smaller than the sum of its proper divisors (49319494456956).

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

22001221100100 is a wasteful number, since it uses less digits than its factorization.

22001221100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180190246 (or 180190239 counting only the distinct ones).

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

Adding to 22001221100100 its reverse (100112210022), we get a palindrome (22101333310122).

The spelling of 22001221100100 in words is "twenty-two trillion, one billion, two hundred twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 180190181 360380362 540570543 720760724 900950905 1081141086 1801901810 1982091991 2162282172 2702852715 3603803620 3964183982 4504754525 5405705430 5946275973 6667036697 7928367964 9009509050 9910459955 10811410860 11892551946 13334073394 13514263575 18019018100 19820919910 20001110091 23785103892 26668146788 27028527150 29731379865 33335183485 39641839820 40002220182 49552299775 54057054300 59462759730 66670366970 73337403667 80004440364 99104599550 100005550455 118925519460 133340733940 146674807334 148656899325 166675917425 198209199100 200011100910 220012211001 293349614668 297313798650 333351834850 366687018335 400022201820 440024422002 500027752275 594627597300 666703669700 733374036670 880048844004 1000055504550 1100061055005 1466748073340 1833435091675 2000111009100 2200122110010 3666870183350 4400244220020 5500305275025 7333740366700 11000610550050 22001221100100