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132422121224231 = 43101149252181173
BaseRepresentation
bin11110000110111111101101…
…011111101111100000100111
3122100212102122022102010120212
4132012333231133233200213
5114324101001013133411
61145345514353450035
736615116416336616
oct3606775537574047
9570772568363525
10132422121224231
11392149a7214603
1212a2836457091b
1358b7477441a87
14249b39cb0987d
15104990b04668b
hex786fed7ef827

132422121224231 has 32 divisors (see below), whose sum is σ = 137818061409600. Its totient is φ = 127150418304000.

The previous prime is 132422121224209. The next prime is 132422121224279.

It is a happy number.

132422121224231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132422121224231 - 222 = 132422117029927 is a prime.

It is a super-2 number, since 2×1324221212242312 (a number of 29 digits) contains 22 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 (132422121224291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631316161 + ... + 1631397333.

It is an arithmetic number, because the mean of its divisors is an integer number (4306814419050).

Almost surely, 2132422121224231 is an apocalyptic number.

132422121224231 is a deficient number, since it is larger than the sum of its proper divisors (5395940185369).

132422121224231 is a wasteful number, since it uses less digits than its factorization.

132422121224231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83987.

The product of its digits is 18432, while the sum is 32.

The spelling of 132422121224231 in words is "one hundred thirty-two trillion, four hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 43 101 149 2521 4343 6407 15049 81173 108403 254621 375629 647107 3490439 8198473 10948703 12094777 16152047 37938529 204637133 352534339 520075411 1221572477 1631356747 8799396719 20668350433 30490932817 52527616511 888739068619 1311110111131 3079584214517 132422121224231