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100223310331102 = 271719131445138011
BaseRepresentation
bin10110110010011100001110…
…110011110111110011011110
3111010212020212211002201121111
4112302130032303313303132
5101114024314421043402
6553053541514052234
730052616026504240
oct2662341663676336
9433766784081544
10100223310331102
1129a30515958122
12b2a7b47a1a07a
1343c002c8cb53a
141aa6b96ac4090
15b8c0894039d7
hex5b270ecf7cde

100223310331102 has 128 divisors (see below), whose sum is σ = 193002773483520. Its totient is φ = 37996620480000.

The previous prime is 100223310331099. The next prime is 100223310331169. The reversal of 100223310331102 is 201133013322001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2636673277 + ... + 2636711287.

It is an arithmetic number, because the mean of its divisors is an integer number (1507834167840).

Almost surely, 2100223310331102 is an apocalyptic number.

100223310331102 is a deficient number, since it is larger than the sum of its proper divisors (92779463152418).

100223310331102 is a wasteful number, since it uses less digits than its factorization.

100223310331102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42638.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100223310331102 its reverse (201133013322001), we get a palindrome (301356323653103).

The spelling of 100223310331102 in words is "one hundred trillion, two hundred twenty-three billion, three hundred ten million, three hundred thirty-one thousand, one hundred two".

Divisors: 1 2 7 14 17 19 34 38 119 131 133 238 262 266 323 646 917 1834 2227 2261 2489 4451 4454 4522 4978 8902 15589 17423 31157 31178 34846 38011 42313 62314 75667 76022 84569 84626 151334 169138 266077 296191 529669 532154 583081 591983 592382 646187 722209 1059338 1166162 1183966 1292374 1437673 1444418 2875346 4081567 4523309 4979441 5055463 8163134 9046618 9912377 9958882 10063711 10110926 11078539 12277553 19824754 20127422 22157078 24555106 34856087 69386639 69712174 77549773 84650497 85942871 94609379 138773278 155099546 169186961 169300994 171885742 188335163 189218758 338373922 376670326 592553479 662265653 1184308727 1185106958 1318346141 1324531306 1608359443 2368617454 2636692282 2876178337 3214552259 3216718886 5752356674 6429104518 11258516101 20133248359 22163491891 22501865813 22517032202 40266496718 44326983782 45003731626 54647388403 109294776806 155144443237 310288886474 376779362147 382531718821 421106345929 753558724294 765063437642 842212691858 2637455535029 2947744421503 5274911070058 5895488843006 7158807880793 14317615761586 50111655165551 100223310331102