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11012221122201 = 33133199770741
BaseRepresentation
bin1010000000111111101110…
…0001110011011010011001
31102222202110121212000022000
42200033323201303122121
52420411012101402301
635230540004351213
72214415051046235
oct240177341633231
942882417760260
1011012221122201
11356629080aa02
12129a2aa6a5509
1361b5a932a000
142a0dcc6b35c5
151416be557786
hexa03fb873699

11012221122201 has 64 divisors (see below), whose sum is σ = 18603492768000. Its totient is φ = 6420079673280.

The previous prime is 11012221122193. The next prime is 11012221122247. The reversal of 11012221122201 is 10222112221011.

11012221122201 is a `hidden beast` number, since 110 + 1 + 222 + 112 + 220 + 1 = 666.

It is not a de Polignac number, because 11012221122201 - 23 = 11012221122193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012221122251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3758310 + ... + 6012431.

It is an arithmetic number, because the mean of its divisors is an integer number (290679574500).

Almost surely, 211012221122201 is an apocalyptic number.

It is an amenable number.

11012221122201 is a deficient number, since it is larger than the sum of its proper divisors (7591271645799).

11012221122201 is an equidigital number, since it uses as much as digits as its factorization.

11012221122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770808 (or 9770776 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11012221122201 its reverse (10222112221011), we get a palindrome (21234333343212).

The spelling of 11012221122201 in words is "eleven trillion, twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 13 19 27 39 57 117 169 171 247 351 507 513 741 1521 2197 2223 3211 4563 6591 6669 9633 19773 28899 41743 59319 86697 125229 375687 1127061 9770741 29312223 87936669 127019633 185644079 263810007 381058899 556932237 1143176697 1651255229 1670796711 2413373027 3429530091 4953765687 5012390133 7240119081 14861297061 21466317977 21720357243 31373849351 44583891183 64398953931 65161071729 94121548053 193196861793 282364644159 407860041563 579590585379 847093932477 1223580124689 3670740374067 11012221122201