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132122102311 = 10921122725307
BaseRepresentation
bin111101100001100010…
…1110100101000100111
3110122000211001012201201
41323003011310220213
54131041224233221
6140410203103331
712355052224363
oct1730305645047
9418024035651
10132122102311
115103a533aa1
1221733511b47
13c5c7730984
14657526a2a3
1536842e4891
hex1ec3174a27

132122102311 has 16 divisors (see below), whose sum is σ = 134561623680. Its totient is φ = 129710458080.

The previous prime is 132122102309. The next prime is 132122102381. The reversal of 132122102311 is 113201221231.

It is a cyclic number.

It is not a de Polignac number, because 132122102311 - 21 = 132122102309 is a prime.

It is a super-3 number, since 3×1321221023113 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122102381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5208120 + ... + 5233426.

It is an arithmetic number, because the mean of its divisors is an integer number (8410101480).

Almost surely, 2132122102311 is an apocalyptic number.

132122102311 is a deficient number, since it is larger than the sum of its proper divisors (2439521369).

132122102311 is a wasteful number, since it uses less digits than its factorization.

132122102311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25854.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 132122102311 its reverse (113201221231), we get a palindrome (245323323542).

The spelling of 132122102311 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred two thousand, three hundred eleven".

Divisors: 1 109 211 227 22999 24743 25307 47897 2758463 5220773 5339777 5744689 582035693 626171101 1212129379 132122102311