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11157128037 = 32112937105031
BaseRepresentation
bin10100110010000010…
…00100001101100101
31001210120002211101100
422121001010031211
5140322211044122
65043035550313
7543325011036
oct123101041545
931716084340
1011157128037
1148059a9480
1221b45bb399
13108a650b13
1477bad2a8d
1545477aaac
hex299044365

11157128037 has 48 divisors (see below), whose sum is σ = 18678890880. Its totient is φ = 6352214400.

The previous prime is 11157128027. The next prime is 11157128039. The reversal of 11157128037 is 73082175111.

11157128037 is a `hidden beast` number, since 1 + 1 + 1 + 571 + 2 + 80 + 3 + 7 = 666.

It is not a de Polignac number, because 11157128037 - 26 = 11157127973 is a prime.

It is a super-2 number, since 2×111571280372 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11157127992 and 11157128010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11157128039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53712 + ... + 158742.

It is an arithmetic number, because the mean of its divisors is an integer number (389143560).

Almost surely, 211157128037 is an apocalyptic number.

It is an amenable number.

11157128037 is a deficient number, since it is larger than the sum of its proper divisors (7521762843).

11157128037 is a wasteful number, since it uses less digits than its factorization.

11157128037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105114 (or 105111 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 11157128037 in words is "eleven billion, one hundred fifty-seven million, one hundred twenty-eight thousand, thirty-seven".

Divisors: 1 3 9 11 29 33 37 87 99 111 261 319 333 407 957 1073 1221 2871 3219 3663 9657 11803 35409 105031 106227 315093 945279 1155341 3045899 3466023 3886147 9137697 10398069 11658441 27413091 33504889 34975323 42747617 100514667 112698263 128242851 301544001 338094789 384728553 1014284367 1239680893 3719042679 11157128037