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1100002201221 = 371141116144251
BaseRepresentation
bin10000000000011101001…
…111011000111010000101
310220011022001012121020110
4100000131033120322011
5121010301030414341
62201200052423233
7142321036303050
oct20003517307205
93804261177213
101100002201221
11394565624890
12159230617b19
137c964399181
143b3518bba97
151d930c88216
hex1001d3d8e85

1100002201221 has 32 divisors (see below), whose sum is σ = 1873174496256. Its totient is φ = 557492400000.

The previous prime is 1100002201217. The next prime is 1100002201273. The reversal of 1100002201221 is 1221022000011.

It is not a de Polignac number, because 1100002201221 - 22 = 1100002201217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100002201197 and 1100002201206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100002201211) 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 31 ways as a sum of consecutive naturals, for example, 58062655 + ... + 58081596.

It is an arithmetic number, because the mean of its divisors is an integer number (58536703008).

Almost surely, 21100002201221 is an apocalyptic number.

1100002201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100002201221 is a deficient number, since it is larger than the sum of its proper divisors (773172295035).

1100002201221 is a wasteful number, since it uses less digits than its factorization.

1100002201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116144313.

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

Adding to 1100002201221 its reverse (1221022000011), we get a palindrome (2321024201232).

The spelling of 1100002201221 in words is "one trillion, one hundred billion, two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 3157 9471 116144251 348432753 813009757 1277586761 2439029271 3832760283 4761914291 8943107327 14285742873 26829321981 33333400037 52381057201 100000200111 157143171603 366667400407 1100002201221