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132444100035 = 32513226400171
BaseRepresentation
bin111101101011001001…
…0001001010111000011
3110122212020221101120100
41323112102021113003
54132221142200120
6140502144413443
712366042163302
oct1732622112703
9418766841510
10132444100035
1151195272715
1221803317283
13c649361280
1465a5d28439
1536a26eb490
hex1ed64895c3

132444100035 has 24 divisors (see below), whose sum is σ = 247228987824. Its totient is φ = 65203248960.

The previous prime is 132444099971. The next prime is 132444100043. The reversal of 132444100035 is 530001444231.

It is a happy number.

132444100035 is a `hidden beast` number, since 1 + 3 + 244 + 410 + 0 + 0 + 3 + 5 = 666.

It is not a de Polignac number, because 132444100035 - 26 = 132444099971 is a prime.

It is a super-4 number, since 4×1324441000354 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132444099981 and 132444100008.

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 23 ways as a sum of consecutive naturals, for example, 113199501 + ... + 113200670.

It is an arithmetic number, because the mean of its divisors is an integer number (10301207826).

Almost surely, 2132444100035 is an apocalyptic number.

132444100035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132444100035 is a deficient number, since it is larger than the sum of its proper divisors (114784887789).

132444100035 is a wasteful number, since it uses less digits than its factorization.

132444100035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226400195 (or 226400192 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 132444100035 its reverse (530001444231), we get a palindrome (662445544266).

The spelling of 132444100035 in words is "one hundred thirty-two billion, four hundred forty-four million, one hundred thousand, thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 226400171 679200513 1132000855 2037601539 2943202223 3396002565 8829606669 10188007695 14716011115 26488820007 44148033345 132444100035