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132384483231 = 3711131723313637
BaseRepresentation
bin111101101001010111…
…0101110011110011111
3110122201002202112200120
41323102232232132133
54132110411430411
6140452214530023
712364416353340
oct1732256563637
9418632675616
10132384483231
1151164653730
12217a7366913
13c639bb9860
14659c04a0c7
15369c372106
hex1ed2bae79f

132384483231 has 256 divisors, whose sum is σ = 270368243712. Its totient is φ = 55290470400.

The previous prime is 132384483229. The next prime is 132384483281.

132384483231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132384483231 - 21 = 132384483229 is a prime.

It is a super-2 number, since 2×1323844832312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132384483281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36397545 + ... + 36401181.

It is an arithmetic number, because the mean of its divisors is an integer number (1056125952).

Almost surely, 2132384483231 is an apocalyptic number.

132384483231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132384483231 is an abundant number, since it is smaller than the sum of its proper divisors (137983760481).

132384483231 is a wasteful number, since it uses less digits than its factorization.

132384483231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742.

The product of its digits is 331776, while the sum is 42.

The spelling of 132384483231 in words is "one hundred thirty-two billion, three hundred eighty-four million, four hundred eighty-three thousand, two hundred thirty-one".