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11210132214 = 2341712493259
BaseRepresentation
bin10100111000010110…
…10000101011110110
31001221020211201110000
422130023100223312
5140424243212324
65052212012130
7544540360131
oct123413205366
931836751400
1011210132214
114832911286
12220a301046
13109861b738
14784b6d218
1545924a9c9
hex29c2d0af6

11210132214 has 80 divisors (see below), whose sum is σ = 26626050000. Its totient is φ = 3513010176.

The previous prime is 11210132201. The next prime is 11210132243. The reversal of 11210132214 is 41223101211.

11210132214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 3438117 + ... + 3441375.

It is an arithmetic number, because the mean of its divisors is an integer number (332825625).

Almost surely, 211210132214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210132214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313025000).

11210132214 is an abundant number, since it is smaller than the sum of its proper divisors (15415917786).

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

11210132214 is a wasteful number, since it uses less digits than its factorization.

11210132214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11210132214 its reverse (41223101211), we get a palindrome (52433233425).

The spelling of 11210132214 in words is "eleven billion, two hundred ten million, one hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1249 1377 2498 2754 3259 3747 6518 7494 9777 11241 19554 21233 22482 29331 33723 42466 55403 58662 63699 67446 87993 101169 110806 127398 166209 175986 191097 202338 263979 332418 382194 498627 527958 573291 997254 1146582 1495881 1719873 2991762 3439746 4070491 4487643 8140982 8975286 12211473 24422946 36634419 69198347 73268838 109903257 138396694 207595041 219806514 329709771 415190082 622785123 659419542 1245570246 1868355369 3736710738 5605066107 11210132214