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1100000122221 = 371121337900001
BaseRepresentation
bin10000000000011101000…
…111011101010101101101
310220011021220021222101110
4100000131013131111231
5121010300012402341
62201155540102233
7142321012523610
oct20003507352555
93804256258343
101100000122221
11394564434900
1215922b994979
137c963b1bab0
143b3514da177
151d9309c7216
hex1001d1dd56d

1100000122221 has 96 divisors (see below), whose sum is σ = 2037777328384. Its totient is φ = 513216000000.

The previous prime is 1100000122201. The next prime is 1100000122259. The reversal of 1100000122221 is 1222210000011.

It is not a de Polignac number, because 1100000122221 - 25 = 1100000122189 is a prime.

1100000122221 is a modest number, since divided by 122221 gives 110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1100000122197 and 1100000122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772221 + ... + 1672221.

Almost surely, 21100000122221 is an apocalyptic number.

1100000122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100000122221 is a deficient number, since it is larger than the sum of its proper divisors (937777206163).

1100000122221 is a wasteful number, since it uses less digits than its factorization.

1100000122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900083 (or 900072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100000122221 its reverse (1222210000011), we get a palindrome (2322210122232).

It can be divided in two parts, 1100000 and 122221, that added together give a palindrome (1222221).

The spelling of 1100000122221 in words is "one trillion, one hundred billion, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8547 10101 11011 13431 15873 31339 33033 37037 58201 94017 111111 174603 407407 900001 1222221 2700003 6300007 9900011 11700013 18900021 29700033 33300037 35100039 69300077 81900091 99900111 108900121 128700143 207900231 233100259 245700273 326700363 366300407 386100429 432900481 699300777 762300847 900901001 1098901221 1298701443 1415701573 2286902541 2564102849 2702703003 3030303367 4029304477 4247104719 4761905291 7692308547 9090910101 9909911011 12087913431 14285715873 28205131339 29729733033 33333337037 52380958201 84615394017 100000011111 157142874603 366666707407 1100000122221