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132430035200 = 285220692193
BaseRepresentation
bin111101101010101110…
…0011111100100000000
3110122211021110211020112
41323111130133210000
54132204042111300
6140500523130452
712365511504041
oct1732534374400
9418737424215
10132430035200
1151188336591
12217ba673a28
13c646478498
1465a41068c8
1536a136de35
hex1ed571f900

132430035200 has 54 divisors (see below), whose sum is σ = 327785045154. Its totient is φ = 52972011520.

The previous prime is 132430035149. The next prime is 132430035233. The reversal of 132430035200 is 2530034231.

It can be written as a sum of positive squares in 3 ways, for example, as 143616256 + 132286418944 = 11984^2 + 363712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10339697 + ... + 10352496.

Almost surely, 2132430035200 is an apocalyptic number.

132430035200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132430035200 is an abundant number, since it is smaller than the sum of its proper divisors (195355009954).

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

132430035200 is an equidigital number, since it uses as much as digits as its factorization.

132430035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20692219 (or 20692200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 132430035200 its reverse (2530034231), we get a palindrome (134960069431).

The spelling of 132430035200 in words is "one hundred thirty-two billion, four hundred thirty million, thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 20692193 41384386 82768772 103460965 165537544 206921930 331075088 413843860 517304825 662150176 827687720 1034609650 1324300352 1655375440 2069219300 2648600704 3310750880 4138438600 5297201408 6621501760 8276877200 13243003520 16553754400 26486007040 33107508800 66215017600 132430035200