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1100213032221 = 3623531238071
BaseRepresentation
bin10000000000101001110…
…011101001010100011101
310220011211201220221000000
4100000221303221110131
5121011214014012341
62201233023324513
7142326206320512
oct20005163512435
93804751827000
101100213032221
11394663635286
1215928b150739
137c998c76344
143b3718bd309
151d9445318b6
hex10029ce951d

1100213032221 has 56 divisors (see below), whose sum is σ = 1753763654016. Its totient is φ = 688347110880.

The previous prime is 1100213032207. The next prime is 1100213032229. The reversal of 1100213032221 is 1222303120011.

1100213032221 is a `hidden beast` number, since 110 + 0 + 213 + 0 + 322 + 21 = 666.

It is not a de Polignac number, because 1100213032221 - 211 = 1100213030173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100213032194 and 1100213032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100213032229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 269616 + ... + 1507686.

Almost surely, 21100213032221 is an apocalyptic number.

It is an amenable number.

1100213032221 is a deficient number, since it is larger than the sum of its proper divisors (653550621795).

1100213032221 is an equidigital number, since it uses as much as digits as its factorization.

1100213032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238165 (or 1238150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100213032221 its reverse (1222303120011), we get a palindrome (2322516152232).

The spelling of 1100213032221 in words is "one trillion, one hundred billion, two hundred thirteen million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 53 69 81 159 207 243 477 621 729 1219 1431 1863 3657 4293 5589 10971 12879 16767 32913 38637 98739 296217 888651 1238071 3714213 11142639 28475633 33427917 65617763 85426899 100283751 196853289 256280697 300851253 590559867 768842091 902553759 1509208549 1771679601 2306526273 4527625647 5315038803 6919578819 13582876941 15945116409 20758736457 40748630823 47835349227 122245892469 366737677407 1100213032221