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132424424231 = 1189909114879
BaseRepresentation
bin111101101010100011…
…1000101101100100111
3110122210212220202102212
41323111013011230213
54132201123033411
6140500202554035
712365413014401
oct1732507055447
9418725822385
10132424424231
1151185153a20
12217b880891b
13c645262598
1465a3485b71
1536a0b1168b
hex1ed51c5b27

132424424231 has 16 divisors (see below), whose sum is σ = 146112076800. Its totient is φ = 119012097600.

The previous prime is 132424424179. The next prime is 132424424233.

It is a happy number.

132424424231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132424424231 - 214 = 132424407847 is a prime.

It is a super-2 number, since 2×1324244242312 (a number of 23 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 (132424424233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8892650 + ... + 8907528.

It is an arithmetic number, because the mean of its divisors is an integer number (9132004800).

Almost surely, 2132424424231 is an apocalyptic number.

132424424231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132424424231 is a deficient number, since it is larger than the sum of its proper divisors (13687652569).

132424424231 is a wasteful number, since it uses less digits than its factorization.

132424424231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24070.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 132424 and 424231, that added together give a palindrome (556655).

The spelling of 132424424231 in words is "one hundred thirty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 11 89 979 9091 14879 100001 163669 809099 1324231 8900089 14566541 135264989 1487914879 12038584021 132424424231