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11100100212 = 2232574953633
BaseRepresentation
bin10100101011001111…
…00001011001110100
31001122120210111220200
422111213201121310
5140213111201322
65033241400500
7542033203125
oct122547413164
931576714820
1011100100212
114786798643
122199499130
13107b8a4946
147742ca04c
1544e7638ac
hex2959e1674

11100100212 has 36 divisors (see below), whose sum is σ = 28063990500. Its totient is φ = 3699320832.

The previous prime is 11100100211. The next prime is 11100100243. The reversal of 11100100212 is 21200100111.

It is a happy number.

11100100212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 762091236 + 10338008976 = 27606^2 + 101676^2 .

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 = 11100100194 and 11100100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100211) 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 11 ways as a sum of consecutive naturals, for example, 180148 + ... + 233780.

Almost surely, 211100100212 is an apocalyptic number.

11100100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100100212 is an abundant number, since it is smaller than the sum of its proper divisors (16963890288).

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

11100100212 is a wasteful number, since it uses less digits than its factorization.

11100100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59392 (or 59387 counting only the distinct ones).

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

Adding to 11100100212 its reverse (21200100111), we get a palindrome (32300200323).

The spelling of 11100100212 in words is "eleven billion, one hundred million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5749 11498 17247 22996 34494 51741 53633 68988 103482 107266 160899 206964 214532 321798 482697 643596 965394 1930788 308336117 616672234 925008351 1233344468 1850016702 2775025053 3700033404 5550050106 11100100212