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11000001100221 = 3273741591134649
BaseRepresentation
bin1010000000010010001100…
…1010000111100110111101
31102221120220222201120112100
42200010203022013212331
52420211000240201341
635221155235055313
72213503165425060
oct240044312074675
942846828646470
1011000001100221
11356108a940591
121297a5a141539
1361a3ac71aa83
142a058d7808d7
151412068253b6
hexa01232879bd

11000001100221 has 48 divisors (see below), whose sum is σ = 18654009088000. Its totient is φ = 6114354833664.

The previous prime is 11000001100189. The next prime is 11000001100237. The reversal of 11000001100221 is 12200110000011.

It is a happy number.

It is not a de Polignac number, because 11000001100221 - 25 = 11000001100189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001100241) 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 47 ways as a sum of consecutive naturals, for example, 9127305 + ... + 10261953.

Almost surely, 211000001100221 is an apocalyptic number.

It is an amenable number.

11000001100221 is a deficient number, since it is larger than the sum of its proper divisors (7654007987779).

11000001100221 is a wasteful number, since it uses less digits than its factorization.

11000001100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138858 (or 1138855 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000001100221 its reverse (12200110000011), we get a palindrome (23200111100232).

The spelling of 11000001100221 in words is "eleven trillion, one million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 4159 12477 29113 37431 87339 153883 262017 461649 1077181 1134649 1384947 3231543 3403947 7942543 9694629 10211841 23827629 41982013 71482887 125946039 293874091 377838117 881622273 2644866819 4719005191 14157015573 33033036337 42471046719 99099109011 174603192067 297297327033 523809576201 1222222344469 1571428728603 3666667033407 11000001100221