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132205122 = 235738861
BaseRepresentation
bin1111110000101…
…00101001000010
3100012202201100000
413320110221002
5232321030442
621041340430
73163503450
oct770245102
9305681300
10132205122
1168698735
1238337716
132150b3aa
14137b59d0
15b916d4c
hex7e14a42

132205122 has 48 divisors (see below), whose sum is σ = 339498432. Its totient is φ = 37771920.

The previous prime is 132205121. The next prime is 132205133. The reversal of 132205122 is 221502231.

132205122 is a `hidden beast` number, since 132 + 20 + 512 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132205095 and 132205104.

It is not an unprimeable number, because it can be changed into a prime (132205121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16029 + ... + 22832.

It is an arithmetic number, because the mean of its divisors is an integer number (7072884).

Almost surely, 2132205122 is an apocalyptic number.

132205122 is an abundant number, since it is smaller than the sum of its proper divisors (207293310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132205122 is an equidigital number, since it uses as much as digits as its factorization.

132205122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38885 (or 38873 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132205122 is about 11498.0486170480. The cubic root of 132205122 is about 509.4279398827.

Adding to 132205122 its reverse (221502231), we get a palindrome (353707353).

The spelling of 132205122 in words is "one hundred thirty-two million, two hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 38861 77722 116583 233166 272027 349749 544054 699498 816081 1049247 1632162 2098494 2448243 3147741 4896486 6295482 7344729 9443223 14689458 18886446 22034187 44068374 66102561 132205122