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11152041351 = 3112371018221
BaseRepresentation
bin10100110001011011…
…01010010110000111
31001210012112101202120
422120231222112013
5140314410310401
65042334541023
7543233534043
oct123055522607
931705471676
1011152041351
114803044800
1221b2967773
13108958c749
1477b16b023
154540c3836
hex298b6a587

11152041351 has 48 divisors (see below), whose sum is σ = 16954027104. Its totient is φ = 6510240000.

The previous prime is 11152041343. The next prime is 11152041367. The reversal of 11152041351 is 15314025111.

11152041351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11152041351 - 23 = 11152041343 is a prime.

It is a super-3 number, since 3×111520413513 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152041301) 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 47 ways as a sum of consecutive naturals, for example, 1352421 + ... + 1360641.

It is an arithmetic number, because the mean of its divisors is an integer number (353208898).

Almost surely, 211152041351 is an apocalyptic number.

11152041351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11152041351 is a deficient number, since it is larger than the sum of its proper divisors (5801985753).

11152041351 is a wasteful number, since it uses less digits than its factorization.

11152041351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11152041351 its reverse (15314025111), we get a palindrome (26466066462).

The spelling of 11152041351 in words is "eleven billion, one hundred fifty-two million, forty-one thousand, three hundred fifty-one".

Divisors: 1 3 11 33 37 101 111 121 303 363 407 1111 1221 3333 3737 4477 8221 11211 12221 13431 24663 36663 41107 90431 123321 271293 304177 452177 830321 912531 994741 1356531 2490963 2984223 3345947 9133531 10037841 27400593 30721877 36805417 92165631 100468841 110416251 301406523 337940647 1013821941 3717347117 11152041351