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11212605356 = 22192937359383
BaseRepresentation
bin10100111000101001…
…01100011110101100
31001221102111100221212
422130110230132230
5140430411332411
65052341013552
7544600400351
oct123424543654
931842440855
1011212605356
1148342503a7
12220b0b42b8
131098ca6334
14785214628
1545958868b
hex29c52c7ac

11212605356 has 96 divisors (see below), whose sum is σ = 22063104000. Its totient is φ = 4962601728.

The previous prime is 11212605353. The next prime is 11212605361. The reversal of 11212605356 is 65350621211.

11212605356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11212605353) 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 31 ways as a sum of consecutive naturals, for example, 29275541 + ... + 29275923.

It is an arithmetic number, because the mean of its divisors is an integer number (229824000).

Almost surely, 211212605356 is an apocalyptic number.

It is an amenable number.

11212605356 is a deficient number, since it is larger than the sum of its proper divisors (10850498644).

11212605356 is a wasteful number, since it uses less digits than its factorization.

11212605356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 11212605356 in words is "eleven billion, two hundred twelve million, six hundred five thousand, three hundred fifty-six".

Divisors: 1 2 4 19 29 37 38 58 74 76 116 148 359 383 551 703 718 766 1073 1102 1406 1436 1532 2146 2204 2812 4292 6821 7277 10411 11107 13283 13642 14171 14554 20387 20822 22214 26566 27284 28342 29108 40774 41644 44428 53132 56684 81548 137497 197809 211033 252377 269249 274994 385207 395618 410959 422066 504754 538498 549988 770414 791236 821918 844132 1009508 1076996 1540828 1643836 2612443 3987413 5087389 5224886 7318933 7808221 7974826 10174778 10449772 14637866 15616442 15949652 20349556 29275732 31232884 75760847 96660391 147534281 151521694 193320782 295068562 303043388 386641564 590137124 2803151339 5606302678 11212605356