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22001121100002 = 231119322737320399
BaseRepresentation
bin1010000000010100010010…
…00000100000000011100010
32212220021201221212010201010
411000022021000200003202
510340431244000200002
6114443101524121350
74430346201513042
oct500121100400342
985807657763633
1022001121100002
117012694324950
122573b6ab36256
13c37909ba5a95
14560c0797d722
152824764b646c
hex1402890200e2

22001121100002 has 128 divisors (see below), whose sum is σ = 48596035276800. Its totient is φ = 6585218519040.

The previous prime is 22001121099983. The next prime is 22001121100027. The reversal of 22001121100002 is 20000112110022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078528999 + ... + 1078549397.

It is an arithmetic number, because the mean of its divisors is an integer number (379656525600).

Almost surely, 222001121100002 is an apocalyptic number.

22001121100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22001121100002 is an abundant number, since it is smaller than the sum of its proper divisors (26594914176798).

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

22001121100002 is a wasteful number, since it uses less digits than its factorization.

22001121100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21208.

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

Adding to 22001121100002 its reverse (20000112110022), we get a palindrome (42001233210024).

The spelling of 22001121100002 in words is "twenty-two trillion, one billion, one hundred twenty-one million, one hundred thousand, two".

Divisors: 1 2 3 6 11 22 33 66 193 227 373 386 454 579 681 746 1119 1158 1362 2123 2238 2497 4103 4246 4994 6369 7491 8206 12309 12738 14982 20399 24618 40798 43811 61197 71989 84671 87622 122394 131433 143978 169342 215967 224389 254013 262866 431934 448778 481921 508026 673167 791879 931381 963842 1346334 1445763 1583758 1862762 2375637 2794143 2891526 3937007 4630573 4751274 5588286 7608827 7874014 9261146 11811021 13891719 15217654 16341503 22826481 23622042 27783438 32683006 43307077 45652962 49024509 50936303 83697097 86614154 98049018 101872606 129921231 152808909 167394194 179756533 251091291 259842462 305617818 359513066 502182582 539269599 893700589 1078539198 1468503611 1727203729 1787401178 2681101767 2937007222 3454407458 4405510833 5181611187 5362203534 8811021666 9830706479 10363222374 16153539721 18999241019 19661412958 29492119437 32307079442 37998482038 48460619163 56997723057 58984238874 96921238326 113995446114 333350319697 666700639394 1000050959091 2000101918182 3666853516667 7333707033334 11000560550001 22001121100002