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11212013340 = 223251141138113
BaseRepresentation
bin10100111000100100…
…11011111100011100
31001221101101021212100
422130102123330130
5140430233411330
65052320205100
7544562353353
oct123422337434
931841337770
1011212013340
114833986630
12220aa69790
131098b29a28
147850dc99a
154594bd060
hex29c49bf1c

11212013340 has 144 divisors (see below), whose sum is σ = 38006762976. Its totient is φ = 2651750400.

The previous prime is 11212013339. The next prime is 11212013347. The reversal of 11212013340 is 4331021211.

11212013340 is a `hidden beast` number, since 1 + 121 + 201 + 3 + 340 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212013347) 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, 12124 + ... + 150236.

It is an arithmetic number, because the mean of its divisors is an integer number (263935854).

Almost surely, 211212013340 is an apocalyptic number.

11212013340 is a gapful number since it is divisible by the number (10) 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 11212013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003381488).

11212013340 is an abundant number, since it is smaller than the sum of its proper divisors (26794749636).

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

11212013340 is a wasteful number, since it uses less digits than its factorization.

11212013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138180 (or 138175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11212013340 its reverse (4331021211), we get a palindrome (15543034551).

The spelling of 11212013340 in words is "eleven billion, two hundred twelve million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 138113 276226 414339 552452 690565 828678 1243017 1381130 1519243 1657356 2071695 2486034 2762260 3038486 4143390 4557729 4972068 5662633 6076972 6215085 7596215 8286780 9115458 11325266 12430170 13673187 15192430 16987899 18230916 22650532 22788645 24860340 27346374 28313165 30384860 33975798 45577290 50963697 54692748 56626330 62288963 67951596 68365935 84939495 91154580 101927394 113252660 124577926 136731870 169878990 186866889 203854788 249155852 254818485 273463740 311444815 339757980 373733778 509636970 560600667 622889630 747467556 934334445 1019273940 1121201334 1245779260 1868668890 2242402668 2803003335 3737337780 5606006670 11212013340