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110102002102220 = 225417316271130501
BaseRepresentation
bin11001000010001100011110…
…101110010110111111001100
3112102211122111211111110021212
4121002030132232112333030
5103412402400014232340
61030100054514513552
732122415152214012
oct3102143656267714
9472748454443255
10110102002102220
1132099aa6919327
12104226098958b8
13495876081306b
141d28d72c468b2
15cae0145c7a65
hex64231eb96fcc

110102002102220 has 96 divisors (see below), whose sum is σ = 240245928369216. Its totient is φ = 42351966720000.

The previous prime is 110102002102217. The next prime is 110102002102277. The reversal of 110102002102220 is 22201200201011.

It is a junction number, because it is equal to n+sod(n) for n = 110102002102195 and 110102002102204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96826970 + ... + 97957470.

It is an arithmetic number, because the mean of its divisors is an integer number (2502561753846).

Almost surely, 2110102002102220 is an apocalyptic number.

110102002102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110102002102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120122964184608).

110102002102220 is an abundant number, since it is smaller than the sum of its proper divisors (130143926266996).

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

110102002102220 is a wasteful number, since it uses less digits than its factorization.

110102002102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132251 (or 1132249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110102002102220 its reverse (22201200201011), we get a palindrome (132303202303231).

The spelling of 110102002102220 in words is "one hundred ten trillion, one hundred two billion, two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 1627 2993 3254 5986 6508 8135 11972 14965 16270 29930 32540 59860 66707 118771 133414 237542 266828 333535 475084 593855 667070 1130501 1187710 1334140 2261002 2375420 4522004 4869611 5652505 9739222 11305010 19478444 22610020 24348055 46350541 48696110 82526573 92701082 97392220 165053146 185402164 231752705 330106292 412632865 463505410 825265730 927010820 1650531460 1839325127 3383589493 3678650254 6767178986 7357300508 9196625635 13534357972 16917947465 18393251270 33835894930 36786502540 67671789860 75412330207 134270734271 150824660414 268541468542 301649320828 377061651035 537082937084 671353671355 754123302070 1342707342710 1508246604140 2685414685420 5505100105111 11010200210222 22020400420444 27525500525555 55051001051110 110102002102220