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11212131312 = 24321737123787
BaseRepresentation
bin10100111000100101…
…11000101111110000
31001221101121021200200
422130102320233300
5140430301200222
65052322515200
7544563354324
oct123422705760
931841537620
1011212131312
114833a57228
12220ab05b00
131098b6b635
1478512d984
154594e2eac
hex29c4b8bf0

11212131312 has 120 divisors (see below), whose sum is σ = 34122409776. Its totient is φ = 3422435328.

The previous prime is 11212131283. The next prime is 11212131319. The reversal of 11212131312 is 21313121211.

11212131312 is a `hidden beast` number, since 11 + 212 + 131 + 312 = 666.

11212131312 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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212131319) 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 23 ways as a sum of consecutive naturals, for example, 28683 + ... + 152469.

Almost surely, 211212131312 is an apocalyptic number.

11212131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061204888).

11212131312 is an abundant number, since it is smaller than the sum of its proper divisors (22910278464).

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

11212131312 is a wasteful number, since it uses less digits than its factorization.

11212131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123855 (or 123846 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11212131312 its reverse (21313121211), we get a palindrome (32525252523).

The spelling of 11212131312 in words is "eleven billion, two hundred twelve million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5661 7548 10064 11322 15096 22644 30192 45288 90576 123787 247574 371361 495148 742722 990296 1114083 1485444 1980592 2104379 2228166 2970888 4208758 4456332 4580119 5941776 6313137 8417516 8912664 9160238 12626274 13740357 16835032 17825328 18320476 18939411 25252548 27480714 33670064 36640952 37878822 41221071 50505096 54961428 73281904 75757644 77862023 82442142 101010192 109922856 151515288 155724046 164884284 219845712 233586069 303030576 311448092 329768568 467172138 622896184 659537136 700758207 934344276 1245792368 1401516414 1868688552 2803032828 3737377104 5606065656 11212131312