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132240595201 = 11213225432
BaseRepresentation
bin111101100101000100…
…1110101100100000001
3110122100002000021102021
41323022021311210001
54131312043021301
6140430034521441
712361021340611
oct1731211654401
9418302007367
10132240595201
11510a0406500
1221767136281
13c61614a900
146586cb2a41
15368e8ed8a1
hex1eca275901

132240595201 has 27 divisors (see below), whose sum is σ = 157458556227. Its totient is φ = 110927490960.

The previous prime is 132240595171. The next prime is 132240595247. The reversal of 132240595201 is 102595042231.

The square root of 132240595201 is 363649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19562218225 + 112678376976 = 139865^2 + 335676^2 .

It is not a de Polignac number, because 132240595201 - 25 = 132240595169 is a prime.

It is a super-2 number, since 2×1322405952012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132240565201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52000536 + ... + 52003078.

Almost surely, 2132240595201 is an apocalyptic number.

132240595201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132240595201 is the 363649-th square number.

132240595201 is the 181825-th centered octagonal number.

It is an amenable number.

132240595201 is a deficient number, since it is larger than the sum of its proper divisors (25217961026).

132240595201 is an frugal number, since it uses more digits than its factorization.

132240595201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 132240595201 in words is "one hundred thirty-two billion, two hundred forty million, five hundred ninety-five thousand, two hundred one".

Divisors: 1 11 13 121 143 169 1573 1859 2543 20449 27973 33059 307703 363649 429767 4000139 4727437 6466849 52001807 71135339 84069037 782488729 924759407 1092897481 10172353477 12021872291 132240595201