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110104222233213 = 321318129322877759
BaseRepresentation
bin11001000010001110100011…
…000011011111001001111101
3112102211212020120001210110200
4121002032203003133021331
5103412421421342430323
61030101103103554113
732122524161056065
oct3102164303371175
9472755216053420
10110104222233213
113209aa3604862a
1210422b292bb939
134958a25772640
141d29103a443a5
15cae0e446e443
hex6423a30df27d

110104222233213 has 96 divisors (see below), whose sum is σ = 172905117665280. Its totient is φ = 67114112924160.

The previous prime is 110104222233167. The next prime is 110104222233241. The reversal of 110104222233213 is 312332222401011.

110104222233213 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 422 + 2 + 23 + 3 + 213 = 666.

It is not a de Polignac number, because 110104222233213 - 26 = 110104222233149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110104222233263) 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, 14190513228 + ... + 14190520986.

It is an arithmetic number, because the mean of its divisors is an integer number (1801094975680).

Almost surely, 2110104222233213 is an apocalyptic number.

110104222233213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110104222233213 is a deficient number, since it is larger than the sum of its proper divisors (62800895432067).

110104222233213 is a wasteful number, since it uses less digits than its factorization.

110104222233213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 110104222233213 its reverse (312332222401011), we get a palindrome (422436444634224).

The spelling of 110104222233213 in words is "one hundred ten trillion, one hundred four billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 181 293 543 879 1629 2287 2353 2637 3809 6861 7059 7759 11427 20583 21177 23277 29731 34281 53033 69831 89193 100867 159099 267579 302601 413947 477297 670091 689429 907803 1241841 1404379 2010273 2068287 2273387 3725523 4213137 5381311 6030819 6204861 6820161 8711183 12639411 16143933 17744833 18256927 20460483 26133549 29554031 48431799 53234499 54770781 78400647 88662093 121286471 159703497 164312343 230682829 265986279 363859413 411483047 692048487 1091578239 1234449141 1576724123 2076145461 3211814773 3703347423 4730172369 5199236069 5349279611 9635444319 14190517107 15597708207 16047838833 28906332957 41753592049 46793124621 48143516499 67590068897 125260776147 202770206691 375782328441 608310620073 941061728489 2823185185467 8469555556401 12233802470357 36701407411071 110104222233213