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22001211120018 = 23134771269314227
BaseRepresentation
bin1010000000010100011100…
…10111111001100110010010
32212220021222020020121221210
411000022032113321212102
510340431440021320033
6114443114501400550
74430351343621054
oct500121627714622
985807866217853
1022001211120018
11701273011a259
122573b95109156
13c37922733b70
14560c158d38d4
1528247e348d63
hex14028e5f9992

22001211120018 has 128 divisors (see below), whose sum is σ = 49259688468480. Its totient is φ = 6507947255040.

The previous prime is 22001211120017. The next prime is 22001211120041. The reversal of 22001211120018 is 81002111210022.

It is a junction number, because it is equal to n+sod(n) for n = 22001211119976 and 22001211120003.

It is not an unprimeable number, because it can be changed into a prime (22001211120013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69859821 + ... + 70174047.

It is an arithmetic number, because the mean of its divisors is an integer number (384841316160).

Almost surely, 222001211120018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001211120018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24629844234240).

22001211120018 is an abundant number, since it is smaller than the sum of its proper divisors (27258477348462).

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

22001211120018 is a wasteful number, since it uses less digits than its factorization.

22001211120018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314632.

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 22001211120018 in words is "twenty-two trillion, one billion, two hundred eleven million, one hundred twenty thousand, eighteen".

Divisors: 1 2 3 6 13 26 39 47 71 78 94 141 142 213 269 282 426 538 611 807 923 1222 1614 1833 1846 2769 3337 3497 3666 5538 6674 6994 10011 10491 12643 19099 20022 20982 25286 37929 38198 43381 57297 75858 86762 114594 130143 164359 248287 260286 314227 328718 493077 496574 628454 744861 897653 942681 986154 1489722 1795306 1885362 2692959 4084951 5385918 8169902 11669489 12254853 14768669 22310117 23338978 24509706 29537338 35008467 44306007 44620234 66930351 70016934 84527063 88612014 133860702 169054126 191992697 253581189 290031521 383985394 507162378 575978091 580063042 870094563 1048575499 1098851819 1151956182 1740189126 2097150998 2197703638 3145726497 3296555457 3972771961 6001421473 6291452994 6593110914 7945543922 11918315883 12002842946 13631481487 18004264419 23836631766 27262962974 36008528838 40894444461 51646035493 78018479149 81788888922 103292070986 154938106479 156036958298 234055437447 282066809231 309876212958 468110874894 564133618462 846200427693 1692400855386 3666868520003 7333737040006 11000605560009 22001211120018