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11311132212 = 223219371074177
BaseRepresentation
bin10101000100011001…
…00010111000110100
31002012021220001101200
422202030202320310
5141131122212322
65110220452500
7550205015562
oct124214427064
932167801350
1011311132212
114884926056
1222380aa130
1310b3522453
14794340a32
1546304b8ac
hex2a2322e34

11311132212 has 144 divisors (see below), whose sum is σ = 31206651840. Its totient is φ = 3442093056.

The previous prime is 11311132199. The next prime is 11311132213. The reversal of 11311132212 is 21223111311.

11311132212 is a `hidden beast` number, since 11 + 311 + 132 + 212 = 666.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311132213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705868 + ... + 2710044.

It is an arithmetic number, because the mean of its divisors is an integer number (216712860).

Almost surely, 211311132212 is an apocalyptic number.

11311132212 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 11311132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603325920).

11311132212 is an abundant number, since it is smaller than the sum of its proper divisors (19895519628).

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

11311132212 is a wasteful number, since it uses less digits than its factorization.

11311132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4345 counting only the distinct ones).

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

Adding to 11311132212 its reverse (21223111311), we get a palindrome (32534243523).

The spelling of 11311132212 in words is "eleven billion, three hundred eleven million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 107 111 114 148 171 214 222 228 321 333 342 428 444 642 666 684 703 963 1284 1332 1406 1926 2033 2109 2812 3852 3959 4066 4177 4218 6099 6327 7918 8132 8354 8436 11877 12198 12531 12654 15836 16708 18297 23754 24396 25062 25308 35631 36594 37593 47508 50124 71262 73188 75186 75221 79363 142524 150372 150442 154549 158726 225663 238089 300884 309098 317452 446939 451326 463647 476178 618196 676989 714267 893878 902652 927294 952356 1340817 1353978 1390941 1428534 1787756 1854588 2681634 2707956 2781882 2857068 2936431 4022451 5363268 5563764 5872862 8044902 8491841 8809293 11745724 16089804 16536743 16983682 17618586 25475523 26427879 33073486 33967364 35237172 49610229 50951046 52855758 66146972 76426569 99220458 101902092 105711516 148830687 152853138 198440916 297661374 305706276 314198117 595322748 628396234 942594351 1256792468 1885188702 2827783053 3770377404 5655566106 11311132212