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10111000212 = 2232377590841
BaseRepresentation
bin10010110101010100…
…11001111010010100
3222002122122000210100
421122222121322110
5131201404001322
64351145454100
7505363040505
oct113252317224
928078560710
1010111000212
11431943a125
121b621a1330
13c519b2b81
146bcbb8bac
153e29d6dac
hex25aa99e94

10111000212 has 36 divisors (see below), whose sum is σ = 26249131636. Its totient is φ = 3279242880.

The previous prime is 10111000187. The next prime is 10111000231. The reversal of 10111000212 is 21200011101.

It is a happy number.

10111000212 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 4585456656 + 5525543556 = 67716^2 + 74334^2 .

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 = 10111000194 and 10111000203.

It is a congruent number.

It is an unprimeable number.

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, 3794089 + ... + 3796752.

Almost surely, 210111000212 is an apocalyptic number.

10111000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111000212 is an abundant number, since it is smaller than the sum of its proper divisors (16138131424).

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

10111000212 is a wasteful number, since it uses less digits than its factorization.

10111000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590888 (or 7590883 counting only the distinct ones).

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

Adding to 10111000212 its reverse (21200011101), we get a palindrome (31311011313).

The spelling of 10111000212 in words is "ten billion, one hundred eleven 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 7590841 15181682 22772523 30363364 45545046 68317569 91090092 136635138 273270276 280861117 561722234 842583351 1123444468 1685166702 2527750053 3370333404 5055500106 10111000212