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10020112021100 = 22521923930197309
BaseRepresentation
bin1001000111001111110100…
…1101111011011001101100
31022110220122211112210010202
42101303331031323121230
52303132142134133400
633151101555253032
72052633500611316
oct221637515733154
938426584483122
1010020112021100
113213562015165
121159b6b2aa178
13578b7aac541c
14268d942547b6
151259a593a4d5
hex91cfd37b66c

10020112021100 has 144 divisors (see below), whose sum is σ = 22994569920000. Its totient is φ = 3779438019840.

The previous prime is 10020112021097. The next prime is 10020112021163. The reversal of 10020112021100 is 112021102001.

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, 1370924246 + ... + 1370931554.

Almost surely, 210020112021100 is an apocalyptic number.

10020112021100 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 10020112021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11497284960000).

10020112021100 is an abundant number, since it is smaller than the sum of its proper divisors (12974457898900).

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

10020112021100 is a wasteful number, since it uses less digits than its factorization.

10020112021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020112021100 its reverse (112021102001), we get a palindrome (10132133123101).

The spelling of 10020112021100 in words is "ten trillion, twenty billion, one hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 239 380 475 478 950 956 1195 1900 2390 3019 4541 4780 5975 6038 7309 9082 11950 12076 14618 15095 18164 22705 23900 29236 30190 36545 45410 57361 60380 73090 75475 90820 113525 114722 138871 146180 150950 182725 227050 229444 277742 286805 301900 365450 454100 555484 573610 694355 721541 730900 1147220 1388710 1434025 1443082 1746851 2777420 2868050 2886164 3471775 3493702 3607705 5736100 6943550 6987404 7215410 8734255 13709279 13887100 14430820 17468510 18038525 22065871 27418558 33190169 34937020 36077050 43671275 44131742 54837116 66380338 68546395 72154100 87342550 88263484 110329355 132760676 137092790 165950845 174685100 220658710 274185580 331901690 342731975 419251549 441317420 551646775 663803380 685463950 829754225 838503098 1103293550 1370927900 1659508450 1677006196 2096257745 2206587100 3319016900 4192515490 5273743169 8385030980 10481288725 10547486338 20962577450 21094972676 26368715845 41925154900 52737431690 100201120211 105474863380 131843579225 200402240422 263687158450 400804480844 501005601055 527374316900 1002011202110 2004022404220 2505028005275 5010056010550 10020112021100