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132123405 = 3517518131
BaseRepresentation
bin1111110000000…
…00101100001101
3100012121120020110
413320000230031
5232310422110
621035510233
73163013301
oct770005415
9305546213
10132123405
11686422a7
12382b8379
13214b013b
1413793d01
15b8eca20
hex7e00b0d

132123405 has 16 divisors (see below), whose sum is σ = 223833024. Its totient is φ = 66320640.

The previous prime is 132123401. The next prime is 132123419. The reversal of 132123405 is 504321231.

It is not a de Polignac number, because 132123405 - 22 = 132123401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123401) 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, 258811 + ... + 259320.

It is an arithmetic number, because the mean of its divisors is an integer number (13989564).

Almost surely, 2132123405 is an apocalyptic number.

132123405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132123405 is a deficient number, since it is larger than the sum of its proper divisors (91709619).

132123405 is a wasteful number, since it uses less digits than its factorization.

132123405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518156.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132123405 is about 11494.4945517408. The cubic root of 132123405 is about 509.3229578106.

Adding to 132123405 its reverse (504321231), we get a palindrome (636444636).

The spelling of 132123405 in words is "one hundred thirty-two million, one hundred twenty-three thousand, four hundred five".

Divisors: 1 3 5 15 17 51 85 255 518131 1554393 2590655 7771965 8808227 26424681 44041135 132123405