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102203212123110 = 235710313033626299
BaseRepresentation
bin10111001111010000001010…
…001001110100101111100110
3111101212112100120121211021210
4113033100022021310233212
5101343444134300414420
61001211301340452250
730345636605165610
oct2717201211645746
9441775316554253
10102203212123110
112a6241588a185a
12b567800b4a086
13450494c321037
141b3493a205db0
15bc3817c169e0
hex5cf40a274be6

102203212123110 has 128 divisors (see below), whose sum is σ = 283267757260800. Its totient is φ = 23116170220416.

The previous prime is 102203212122971. The next prime is 102203212123121. The reversal of 102203212123110 is 11321212302201.

102203212123110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26370741 + ... + 29997039.

It is an arithmetic number, because the mean of its divisors is an integer number (2213029353600).

Almost surely, 2102203212123110 is an apocalyptic number.

102203212123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102203212123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141633878630400).

102203212123110 is an abundant number, since it is smaller than the sum of its proper divisors (181064545137690).

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

102203212123110 is a wasteful number, since it uses less digits than its factorization.

102203212123110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627722.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102203212123110 its reverse (11321212302201), we get a palindrome (113524424425311).

The spelling of 102203212123110 in words is "one hundred two trillion, two hundred three billion, two hundred twelve million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1303 1442 1545 2163 2606 3090 3605 3909 4326 6515 7210 7818 9121 10815 13030 18242 19545 21630 27363 39090 45605 54726 91210 134209 136815 268418 273630 402627 671045 805254 939463 1342090 1878926 2013135 2818389 3626299 4026270 4697315 5636778 7252598 9394630 10878897 14091945 18131495 21757794 25384093 28183890 36262990 50768186 54394485 76152279 108788970 126920465 152304558 253840930 373508797 380761395 747017594 761522790 1120526391 1867543985 2241052782 2614561579 3735087970 4725067597 5229123158 5602631955 7843684737 9450135194 11205263910 13072807895 14175202791 15687369474 23625337985 26145615790 28350405582 33075473179 39218423685 47250675970 66150946358 70876013955 78436847370 99226419537 141752027910 165377365895 198452839074 330754731790 486681962491 496132097685 973363924982 992264195370 1460045887473 2433409812455 2920091774946 3406773737437 4866819624910 6813547474874 7300229437365 10220321212311 14600458874730 17033868687185 20440642424622 34067737374370 51101606061555 102203212123110