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132142432301011 = 1150952365968477
BaseRepresentation
bin11110000010111011001110…
…101111001010111111010011
3122022212200201022100201012201
4132002323032233022333103
5114310010200132113021
61145013221221304031
736555655441613446
oct3602731657127723
9568780638321181
10132142432301011
11391173220a6980
12129a2109265017
135896c935965c2
14248ba2930765d
1510424dba9e591
hex782ecebcafd3

132142432301011 has 32 divisors (see below), whose sum is σ = 144936480902400. Its totient is φ = 119480901886080.

The previous prime is 132142432300981. The next prime is 132142432301041. The reversal of 132142432301011 is 110103234241231.

It is an interprime number because it is at equal distance from previous prime (132142432300981) and next prime (132142432301041).

It is a cyclic number.

It is not a de Polignac number, because 132142432301011 - 211 = 132142432298963 is a prime.

It is a super-2 number, since 2×1321424323010112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132142432301041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929700305 + ... + 1929768781.

It is an arithmetic number, because the mean of its divisors is an integer number (4529265028200).

Almost surely, 2132142432301011 is an apocalyptic number.

132142432301011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132142432301011 is a deficient number, since it is larger than the sum of its proper divisors (12794048601389).

132142432301011 is a wasteful number, since it uses less digits than its factorization.

132142432301011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70179.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132142432301011 its reverse (110103234241231), we get a palindrome (242245666542242).

The spelling of 132142432301011 in words is "one hundred thirty-two trillion, one hundred forty-two billion, four hundred thirty-two million, three hundred one thousand, eleven".

Divisors: 1 11 509 523 659 5599 5753 7249 68477 266207 335431 344657 753247 2928277 3689741 3791227 34854793 35813471 45126343 175430413 383402723 393948181 496389773 1929734543 18229056739 22969308587 23601077389 200519624129 252662394457 259611851279 12012948391001 132142432301011