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132505214023 = 71349113072269
BaseRepresentation
bin111101101100111101…
…1010001110001000111
3110200000111221022012101
41323121323101301013
54132332313322043
6140512210332531
712400413510220
oct1733173216107
9420014838171
10132505214023
1151216814546
122181b88a147
13c658c0b2b0
1465b00b6247
1536a7c6e24d
hex1ed9ed1c47

132505214023 has 32 divisors (see below), whose sum is σ = 163612592640. Its totient is φ = 104499642240.

The previous prime is 132505214011. The next prime is 132505214029. The reversal of 132505214023 is 320412505231.

It is a de Polignac number, because none of the positive numbers 2k-132505214023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132505213982 and 132505214000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132505214029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58396933 + ... + 58399201.

It is an arithmetic number, because the mean of its divisors is an integer number (5112893520).

Almost surely, 2132505214023 is an apocalyptic number.

132505214023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132505214023 is a deficient number, since it is larger than the sum of its proper divisors (31107378617).

132505214023 is a wasteful number, since it uses less digits than its factorization.

132505214023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 132505214023 its reverse (320412505231), we get a palindrome (452917719254).

It can be divided in two parts, 132505 and 214023, that added together give a triangular number (346528 = T832).

The spelling of 132505214023 in words is "one hundred thirty-two billion, five hundred five million, two hundred fourteen thousand, twenty-three".

Divisors: 1 7 13 91 491 1307 2269 3437 6383 9149 15883 16991 29497 44681 118937 206479 641737 1114079 2965583 4492159 7798553 8342581 14483027 20759081 38552579 58398067 101381189 269868053 1456101253 10192708771 18929316289 132505214023