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11000110000212 = 2232378258340841
BaseRepresentation
bin1010000000010010100110…
…1001100010100001010100
31102221121012120122021020100
42200010221221202201110
52420211211130001322
635221214125134100
72213505660155544
oct240045151424124
942847176567210
1011000110000212
113561136360783
121297a8a6ba330
1361a3c9159538
142a05a000b324
15141211186dac
hexa0129a62854

11000110000212 has 36 divisors (see below), whose sum is σ = 28557342631636. Its totient is φ = 3567603242880.

The previous prime is 11000110000183. The next prime is 11000110000237. The reversal of 11000110000212 is 21200001100011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8579017568016 + 2421092432196 = 2928996^2 + 1555986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11000110000194 and 11000110000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4129169089 + ... + 4129171752.

Almost surely, 211000110000212 is an apocalyptic number.

11000110000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000110000212 is an abundant number, since it is smaller than the sum of its proper divisors (17557232631424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000110000212 is a wasteful number, since it uses less digits than its factorization.

11000110000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258340888 (or 8258340883 counting only the distinct ones).

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

Adding to 11000110000212 its reverse (21200001100011), we get a palindrome (32200111100223).

The spelling of 11000110000212 in words is "eleven trillion, one hundred ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 8258340841 16516681682 24775022523 33033363364 49550045046 74325067569 99100090092 148650135138 297300270276 305558611117 611117222234 916675833351 1222234444468 1833351666702 2750027500053 3666703333404 5500055000106 11000110000212