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22010212221201 = 32173771367149213
BaseRepresentation
bin1010000000100101001101…
…11000011000000100010001
32212221011012112101221111200
411000102212320120010101
510341103403312034301
6114451204002301413
74431120401666421
oct500224670300421
985834175357450
1022010212221201
117016529aa2856
122575887657869
13c387284ab439
1456142b114481
15282809691c86
hex1404a6e18111

22010212221201 has 96 divisors (see below), whose sum is σ = 35155181288448. Its totient is φ = 13211636336640.

The previous prime is 22010212221197. The next prime is 22010212221223. The reversal of 22010212221201 is 10212221201022.

It is a happy number.

22010212221201 is a `hidden beast` number, since 2 + 20 + 10 + 212 + 221 + 201 = 666.

It is not a de Polignac number, because 22010212221201 - 22 = 22010212221197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22010212421201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147434071 + ... + 147583283.

It is an arithmetic number, because the mean of its divisors is an integer number (366199805088).

Almost surely, 222010212221201 is an apocalyptic number.

It is an amenable number.

22010212221201 is a deficient number, since it is larger than the sum of its proper divisors (13144969067247).

22010212221201 is a wasteful number, since it uses less digits than its factorization.

22010212221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149711 (or 149708 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22010212221201 its reverse (10212221201022), we get a palindrome (32222433422223).

The spelling of 22010212221201 in words is "twenty-two trillion, ten billion, two hundred twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 17 37 51 71 111 153 213 333 367 629 639 1101 1207 1887 2627 3303 3621 5661 6239 7881 10863 13579 18717 23643 26057 40737 44659 56151 78171 122211 133977 149213 230843 234513 401931 442969 447639 692529 964109 1328907 1342917 2077587 2536621 2892327 3986721 5520881 7609863 8676981 10594123 16389853 16562643 22829589 31782369 49169559 49687929 54761171 93854977 95347107 147508677 164283513 180100091 281564931 391982551 492850539 540300273 844694793 930939907 1175947653 1620900819 2026163327 2792819721 3527842959 3888043141 6078489981 6663703367 8378459163 11664129423 18235469943 19991110101 34444776559 34992388269 59973330303 66096733397 103334329677 143857596217 198290200191 310002989031 431572788651 594870600573 1294718365953 2445579135689 7336737407067 22010212221201