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221010112102110 = 235371397731853083
BaseRepresentation
bin110010010000000111101101…
…001110010011111011011110
31001222112100201201020000000120
4302100013231032103323132
5212432012202144231420
62102014351023335410
764360311415465632
oct6220075516237336
91058470651200016
10221010112102110
1164469953618261
12209552a7451566
139642219818a06
143c80d372acdc2
151a83ea82ded40
hexc901ed393ede

221010112102110 has 128 divisors (see below), whose sum is σ = 549389298608640. Its totient is φ = 56856943858176.

The previous prime is 221010112102099. The next prime is 221010112102177. The reversal of 221010112102110 is 11201211010122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221010112102110.

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, 118339629 + ... + 120192711.

It is an arithmetic number, because the mean of its divisors is an integer number (4292103895380).

Almost surely, 2221010112102110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221010112102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274694649304320).

221010112102110 is an abundant number, since it is smaller than the sum of its proper divisors (328379186506530).

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

221010112102110 is a wasteful number, since it uses less digits than its factorization.

221010112102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854042.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221010112102110 its reverse (11201211010122), we get a palindrome (232211323112232).

The spelling of 221010112102110 in words is "two hundred twenty-one trillion, ten billion, one hundred twelve million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 139 185 222 278 370 417 555 695 773 834 1110 1390 1546 2085 2319 3865 4170 4638 5143 7730 10286 11595 15429 23190 25715 28601 30858 51430 57202 77145 85803 107447 143005 154290 171606 214894 286010 322341 429015 537235 644682 858030 1074470 1611705 1853083 3223410 3706166 3975539 5559249 7951078 9265415 11118498 11926617 18530830 19877695 23853234 27796245 39755390 55592490 59633085 68564071 119266170 137128142 205692213 257578537 342820355 411384426 515157074 685640710 772735611 1028461065 1287892685 1432433159 1545471222 2056922130 2575785370 2864866318 3863678055 4297299477 7162165795 7727356110 8594598954 9530405869 14324331590 19060811738 21486497385 28591217607 42972994770 47652029345 53000026883 57182435214 95304058690 106000053766 142956088035 159000080649 199108209101 265000134415 285912176070 318000161298 398216418202 530000268830 597324627303 795000403245 995541045505 1194649254606 1590000806490 1991082091010 2986623136515 5973246273030 7367003736737 14734007473474 22101011210211 36835018683685 44202022420422 73670037367370 110505056051055 221010112102110