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221211101221100 = 225219498911344799
BaseRepresentation
bin110010010011000010111001…
…000110111101000011101100
31002000020120111222201010200122
4302103002321012331003230
5212443310313403033400
62102250551005544112
764410655210014524
oct6223027106750354
91060216458633618
10221211101221100
1164537112750171
122098823a275038
13965816aa354a3
143c8a9628a8684
151a8931d4e6685
hexc930b91bd0ec

221211101221100 has 36 divisors (see below), whose sum is σ = 480030593784000. Its totient is φ = 88483978896960.

The previous prime is 221211101221091. The next prime is 221211101221207. The reversal of 221211101221100 is 1122101112122.

It is a super-2 number, since 2×2212111012211002 (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13826501 + ... + 25171299.

Almost surely, 2221211101221100 is an apocalyptic number.

221211101221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211101221100 is an abundant number, since it is smaller than the sum of its proper divisors (258819492562900).

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

221211101221100 is a wasteful number, since it uses less digits than its factorization.

221211101221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539802 (or 11539795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221211101221100 its reverse (1122101112122), we get a palindrome (222333202333222).

The spelling of 221211101221100 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 194989 389978 779956 974945 1949890 3899780 4874725 9749450 11344799 19498900 22689598 45379196 56723995 113447990 226895980 283619975 567239950 1134479900 2212111012211 4424222024422 8848444048844 11060555061055 22121110122110 44242220244220 55302775305275 110605550610550 221211101221100