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100222110221304 = 233176125715668969
BaseRepresentation
bin10110110010011011000111…
…010001110100001111111000
3111010212010210011212211110110
4112302123013101310033320
5101114014340204040204
6553053222443344320
730052544214650661
oct2662330721641770
9433763704784413
10100222110221304
1129a2aa5a486945
12b2a7871b220a0
1343bcb9b0990b6
141aa6ac1566368
15b8c018d95889
hex5b26c74743f8

100222110221304 has 128 divisors (see below), whose sum is σ = 270692111649600. Its totient is φ = 30806444605440.

The previous prime is 100222110221249. The next prime is 100222110221347. The reversal of 100222110221304 is 403122011222001.

It is a happy number.

It is a super-2 number, since 2×1002221102213042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438269 + ... + 14230700.

Almost surely, 2100222110221304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222110221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135346055824800).

100222110221304 is an abundant number, since it is smaller than the sum of its proper divisors (170470001428296).

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

100222110221304 is a wasteful number, since it uses less digits than its factorization.

100222110221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669313 (or 15669309 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100222110221304 its reverse (403122011222001), we get a palindrome (503344121443305).

The spelling of 100222110221304 in words is "one hundred trillion, two hundred twenty-two billion, one hundred ten million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 257 366 408 488 514 732 771 1028 1037 1464 1542 2056 2074 3084 3111 4148 4369 6168 6222 8296 8738 12444 13107 15677 17476 24888 26214 31354 34952 47031 52428 62708 94062 104856 125416 188124 266509 376248 533018 799527 1066036 1599054 2132072 3198108 6396216 15668969 31337938 47006907 62675876 94013814 125351752 188027628 266372473 376055256 532744946 799117419 955807109 1065489892 1598234838 1911614218 2130979784 2867421327 3196469676 3823228436 4026925033 5734842654 6392939352 7646456872 8053850066 11469685308 12080775099 16107700132 16248720853 22939370616 24161550198 32215400264 32497441706 48323100396 48746162559 64994883412 68457725561 96646200792 97492325118 129989766824 136915451122 194984650236 205373176683 245642427013 273830902244 389969300472 410746353366 491284854026 547661804488 736927281039 821492706732 982569708052 1473854562078 1642985413464 1965139416104 2947709124156 4175921259221 5895418248312 8351842518442 12527763777663 16703685036884 25055527555326 33407370073768 50111055110652 100222110221304