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11131225336 = 237311379967
BaseRepresentation
bin10100101110111100…
…10000010011111000
31001201202100211120001
422113132100103320
5140244043202321
65040312442344
7542561566000
oct122736202370
931652324501
1011131225336
1147a2317390
1221a79a93b4
131085181a8a
147784ad000
15452360c91
hex2977904f8

11131225336 has 128 divisors (see below), whose sum is σ = 27272448000. Its totient is φ = 4219205760.

The previous prime is 11131225289. The next prime is 11131225349. The reversal of 11131225336 is 63352213111.

It is a happy number.

11131225336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 1111825 + ... + 1121791.

It is an arithmetic number, because the mean of its divisors is an integer number (213066000).

Almost surely, 211131225336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131225336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636224000).

11131225336 is an abundant number, since it is smaller than the sum of its proper divisors (16141222664).

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

11131225336 is a wasteful number, since it uses less digits than its factorization.

11131225336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10024 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

Adding to 11131225336 its reverse (63352213111), we get a palindrome (74483438447).

The spelling of 11131225336 in words is "eleven billion, one hundred thirty-one million, two hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 74 77 88 98 148 154 196 259 296 308 343 392 407 518 539 616 686 814 1036 1078 1372 1628 1813 2072 2156 2744 2849 3256 3626 3773 4312 5698 7252 7546 9967 11396 12691 14504 15092 19934 19943 22792 25382 30184 39868 39886 50764 69769 79736 79772 101528 109637 139538 139601 159544 219274 279076 279202 368779 438548 488383 558152 558404 737558 767459 877096 976766 1116808 1475116 1534918 1953532 2581453 2950232 3069836 3418681 3907064 4056569 5162906 5372213 6139672 6837362 8113138 10325812 10744426 13674724 16226276 18070171 20651624 21488852 27349448 28395983 32452552 36140342 37605491 42977704 56791966 72280684 75210982 113583932 126491197 144561368 150421964 198771881 227167864 252982394 300843928 397543762 505964788 795087524 1011929576 1391403167 1590175048 2782806334 5565612668 11131225336