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11753132127 = 311477577777
BaseRepresentation
bin10101111001000101…
…01001000001011111
31010100002120222021220
422330202221001133
5143032300212002
65222130224423
7564152655222
oct127442510137
933302528256
1011753132127
114a91378140
122340125113
131153c7a969
147d6d195b9
1548bc597bc
hex2bc8a905f

11753132127 has 16 divisors (see below), whose sum is σ = 17459200512. Its totient is φ = 6971553920.

The previous prime is 11753132123. The next prime is 11753132173. The reversal of 11753132127 is 72123135711.

11753132127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11753132127 - 22 = 11753132123 is a prime.

It is a super-2 number, since 2×117531321272 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11753132123) 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 15 ways as a sum of consecutive naturals, for example, 3787338 + ... + 3790439.

It is an arithmetic number, because the mean of its divisors is an integer number (1091200032).

Almost surely, 211753132127 is an apocalyptic number.

11753132127 is a deficient number, since it is larger than the sum of its proper divisors (5706068385).

11753132127 is a wasteful number, since it uses less digits than its factorization.

11753132127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577838.

The product of its digits is 8820, while the sum is 33.

Adding to 11753132127 its reverse (72123135711), we get a palindrome (83876267838).

The spelling of 11753132127 in words is "eleven billion, seven hundred fifty-three million, one hundred thirty-two thousand, one hundred twenty-seven".

Divisors: 1 3 11 33 47 141 517 1551 7577777 22733331 83355547 250066641 356155519 1068466557 3917710709 11753132127