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11053368225 = 32524321632
BaseRepresentation
bin10100100101101010…
…10000001110100001
31001112022212021200100
422102311100032201
5140114130240400
65024452013013
7540625036224
oct122265201641
931468767610
1011053368225
11476237a169
122185901169
131071cc1b93
1476c0035bb
1544a5d2100
hex292d503a1

11053368225 has 81 divisors (see below), whose sum is σ = 20394044307. Its totient is φ = 5722708320.

The previous prime is 11053368223. The next prime is 11053368233. The reversal of 11053368225 is 52286335011.

The square root of 11053368225 is 105135.

It is a perfect power (a square), and thus also a powerful number.

11053368225 is a `hidden beast` number, since 110 + 533 + 6 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3979212561 + 7074155664 = 63081^2 + 84108^2 .

It is not a de Polignac number, because 11053368225 - 21 = 11053368223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11053368225.

It is not an unprimeable number, because it can be changed into a prime (11053368223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 67811994 + ... + 67812156.

Almost surely, 211053368225 is an apocalyptic number.

11053368225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11053368225 is the 105135-th square number.

11053368225 is the 52568-th centered octagonal number.

It is an amenable number.

11053368225 is a deficient number, since it is larger than the sum of its proper divisors (9340676082).

11053368225 is an equidigital number, since it uses as much as digits as its factorization.

11053368225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 11053368225 by its sum of digits (36), we get a square (397921256100 = 6308102).

The spelling of 11053368225 in words is "eleven billion, fifty-three million, three hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 163 215 225 387 489 645 815 1075 1467 1849 1935 2445 3225 4075 5547 7009 7335 9245 9675 12225 16641 21027 26569 27735 35045 36675 46225 63081 79707 83205 105135 132845 138675 175225 239121 301387 315405 398535 416025 525675 664225 904161 1142467 1195605 1506935 1577025 1992675 2712483 3427401 4520805 5712335 5978025 7534675 10282203 13562415 17137005 22604025 28561675 49126081 51411015 67812075 85685025 147378243 245630405 257055075 442134729 736891215 1228152025 2210673645 3684456075 11053368225