Search a number
-
+
102212103220 = 225171923126863
BaseRepresentation
bin101111100110001010…
…0001110110000110100
3100202211100002211101121
41133030110032300310
53133312244300340
6114542224033324
710245624354013
oct1371424166064
9322740084347
10102212103220
113a391081a87
1217986762844
13983bbbb066
144d38b6ca7a
1529d354794a
hex17cc50ec34

102212103220 has 144 divisors (see below), whose sum is σ = 247609571328. Its totient is φ = 35277327360.

The previous prime is 102212103167. The next prime is 102212103233. The reversal of 102212103220 is 22301212201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102212103194 and 102212103203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3791509 + ... + 3818371.

It is an arithmetic number, because the mean of its divisors is an integer number (1719510912).

Almost surely, 2102212103220 is an apocalyptic number.

102212103220 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 102212103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123804785664).

102212103220 is an abundant number, since it is smaller than the sum of its proper divisors (145397468108).

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

102212103220 is a wasteful number, since it uses less digits than its factorization.

102212103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26958 (or 26937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102212103220 its reverse (22301212201), we get a palindrome (124513315421).

The spelling of 102212103220 in words is "one hundred two billion, two hundred twelve million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 31 34 38 62 68 76 85 95 124 155 170 190 310 323 340 361 380 527 589 620 646 722 1054 1178 1292 1444 1615 1805 2108 2356 2635 2945 3230 3610 5270 5890 6137 6460 7220 10013 10540 11191 11780 12274 20026 22382 24548 26863 30685 40052 44764 50065 53726 55955 61370 100130 107452 111910 122740 134315 190247 200260 223820 268630 380494 456671 510397 537260 760988 832753 913342 951235 1020794 1665506 1826684 1902470 2041588 2283355 2551985 3331012 3804940 4163765 4566710 5103970 8327530 8676749 9133420 9697543 10207940 14156801 15822307 16655060 17353498 19395086 28313602 31644614 34706996 38790172 43383745 48487715 56627204 63289228 70784005 79111535 86767490 96975430 141568010 158223070 164858231 173534980 193950860 268979219 283136020 300623833 316446140 329716462 537958438 601247666 659432924 824291155 1075916876 1202495332 1344896095 1503119165 1648582310 2689792190 3006238330 3297164620 5110605161 5379584380 6012476660 10221210322 20442420644 25553025805 51106051610 102212103220