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132420220432 = 24257102131541
BaseRepresentation
bin111101101010011011…
…1000011011000010000
3110122210121000011220121
41323110313003120100
54132144034023212
6140455532520024
712365332205413
oct1732467033020
9418717004817
10132420220432
1151182842605
12217b7320014
13c644420026
1465a2aadb7a
1536a0580d07
hex1ed4dc3610

132420220432 has 40 divisors (see below), whose sum is σ = 257822920152. Its totient is φ = 65885798400.

The previous prime is 132420220399. The next prime is 132420220433. The reversal of 132420220432 is 234022024231.

It can be written as a sum of positive squares in 4 ways, for example, as 20786718976 + 111633501456 = 144176^2 + 334116^2 .

It is a super-2 number, since 2×1324202204322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132420220397 and 132420220406.

It is not an unprimeable number, because it can be changed into a prime (132420220433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4182582 + ... + 4214122.

Almost surely, 2132420220432 is an apocalyptic number.

It is an amenable number.

132420220432 is a deficient number, since it is larger than the sum of its proper divisors (125402699720).

132420220432 is a wasteful number, since it uses less digits than its factorization.

132420220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32827 (or 32821 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 132420220432 its reverse (234022024231), we get a palindrome (366442244663).

The spelling of 132420220432 in words is "one hundred thirty-two billion, four hundred twenty million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 257 514 1021 1028 2042 2056 4084 4112 8168 16336 31541 63082 126164 252328 262397 504656 524794 1049588 2099176 4198352 8106037 16212074 32203361 32424148 64406722 64848296 128813444 129696592 257626888 515253776 8276263777 16552527554 33105055108 66210110216 132420220432