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104221331214 = 2371113171020757
BaseRepresentation
bin110000100010000010…
…0110100111100001110
3100222000100211012001020
41201010010310330032
53201421130044324
6115513440455010
710346462461410
oct1410404647416
9328010735036
10104221331214
1140222251790
121824761a466
139a9c246770
14508994a9b0
152a9eb2e679
hex1844134f0e

104221331214 has 128 divisors (see below), whose sum is σ = 296330130432. Its totient is φ = 23518218240.

The previous prime is 104221331213. The next prime is 104221331239. The reversal of 104221331214 is 412133122401.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104221331213) 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, 408277 + ... + 612480.

It is an arithmetic number, because the mean of its divisors is an integer number (2315079144).

Almost surely, 2104221331214 is an apocalyptic number.

104221331214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

104221331214 is an abundant number, since it is smaller than the sum of its proper divisors (192108799218).

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

104221331214 is a wasteful number, since it uses less digits than its factorization.

104221331214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020810.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104221331214 its reverse (412133122401), we get a palindrome (516354453615).

It can be divided in two parts, 10 and 4221331214, that added together give a palindrome (4221331224).

The spelling of 104221331214 in words is "one hundred four billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 429 442 462 546 561 663 714 858 1001 1122 1309 1326 1547 2002 2431 2618 3003 3094 3927 4641 4862 6006 7293 7854 9282 14586 17017 34034 51051 102102 1020757 2041514 3062271 6124542 7145299 11228327 13269841 14290598 17352869 21435897 22456654 26539682 33684981 34705738 39809523 42871794 52058607 67369962 78598289 79619046 92888887 104117214 121470083 145968251 157196578 185777774 190881559 225587297 235794867 242940166 278666661 291936502 364410249 381763118 437904753 451174594 471589734 557333322 572644677 676761891 728820498 875809506 1021777757 1145289354 1336170913 1353523782 1579111079 2043555514 2481460267 2672341826 3065333271 3158222158 4008512739 4737333237 4962920534 6130666542 7444380801 8017025478 9474666474 14888761602 17370221869 34740443738 52110665607 104221331214