Search a number
-
+
221212200100020 = 2235199160111572133
BaseRepresentation
bin110010010011000011111010…
…100110110110000010110100
31002000020200100120102222011220
4302103003322212312002310
5212443320041211200040
62102251252022430340
764411024352231253
oct6223037246660264
91060220316388156
10221212200100020
1164537626a6a168
12209884a62923b0
1396582b45b2abc
143c8aa287d479a
151a89384c0a2d0
hexc930fa9b60b4

221212200100020 has 96 divisors (see below), whose sum is σ = 622895571244800. Its totient is φ = 58656822681600.

The previous prime is 221212200100009. The next prime is 221212200100037. The reversal of 221212200100020 is 20001002212122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13329874 + ... + 24902006.

It is an arithmetic number, because the mean of its divisors is an integer number (6488495533800).

Almost surely, 2221212200100020 is an apocalyptic number.

221212200100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212200100020 is an abundant number, since it is smaller than the sum of its proper divisors (401683371144780).

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

221212200100020 is a wasteful number, since it uses less digits than its factorization.

221212200100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573945 (or 11573943 counting only the distinct ones).

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

Adding to 221212200100020 its reverse (20001002212122), we get a palindrome (241213202312142).

The spelling of 221212200100020 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1601 1990 2388 2985 3202 3980 4803 5970 6404 8005 9606 11940 16010 19212 24015 32020 48030 96060 318599 637198 955797 1274396 1592995 1911594 3185990 3823188 4778985 6371980 9557970 11572133 19115940 23144266 34716399 46288532 57860665 69432798 115721330 138865596 173581995 231442660 347163990 694327980 2302854467 4605708934 6908563401 9211417868 11514272335 13817126802 18526984933 23028544670 27634253604 34542817005 37053969866 46057089340 55580954799 69085634010 74107939732 92634924665 111161909598 138171268020 185269849330 222323819196 277904773995 370539698660 555809547990 1111619095980 3686870001667 7373740003334 11060610005001 14747480006668 18434350008335 22121220010002 36868700016670 44242440020004 55303050025005 73737400033340 110606100050010 221212200100020