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100002122210220 = 223546734039104849
BaseRepresentation
bin10110101111001110001110…
…111110001001101110101100
3111010002002221211121222102020
4112233032032332021232230
5101101413321241211340
6552404201333030140
730030625545502116
oct2657161676115654
9433062854558366
10100002122210220
1129955730a3511a
12b2710b8485350
1343a520ca0c239
141a9a1b2a003b6
15b86440c729d0
hex5af38ef89bac

100002122210220 has 96 divisors (see below), whose sum is σ = 280616446656000. Its totient is φ = 26609093766144.

The previous prime is 100002122210203. The next prime is 100002122210227. The reversal of 100002122210220 is 22012221200001.

It is a super-4 number, since 4×1000021222102204 (a number of 57 digits) contains 4444 as substring.

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 100002122210220.

It is not an unprimeable number, because it can be changed into a prime (100002122210227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953720356 + ... + 953825204.

It is an arithmetic number, because the mean of its divisors is an integer number (2923087986000).

Almost surely, 2100002122210220 is an apocalyptic number.

100002122210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002122210220 is an abundant number, since it is smaller than the sum of its proper divisors (180614324445780).

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

100002122210220 is a wasteful number, since it uses less digits than its factorization.

100002122210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139367 (or 139365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100002122210220 its reverse (22012221200001), we get a palindrome (122014343410221).

The spelling of 100002122210220 in words is "one hundred trillion, two billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 467 934 1401 1868 2335 2802 4670 5604 7005 9340 14010 28020 34039 68078 102117 104849 136156 170195 204234 209698 314547 340390 408468 419396 510585 524245 629094 680780 1021170 1048490 1258188 1572735 2042340 2096980 3145470 6290940 15896213 31792426 47688639 48964483 63584852 79481065 95377278 97928966 146893449 158962130 190754556 195857932 238443195 244822415 293786898 317924260 476886390 489644830 587573796 734467245 953772780 979289660 1468934490 2937868980 3568955111 7137910222 10706865333 14275820444 17844775555 21413730666 35689551110 42827461332 53534326665 71379102220 107068653330 214137306660 1666702036837 3333404073674 5000106110511 6666808147348 8333510184185 10000212221022 16667020368370 20000424442044 25000530552555 33334040736740 50001061105110 100002122210220