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132133323444 = 22313184054277
BaseRepresentation
bin111101100001111000…
…0101000001010110100
3110122001121011022020020
41323003300220022310
54131102112322234
6140411243405140
712355246501143
oct1730360501264
9418047138206
10132133323444
11510458a8661
12217372237b0
13c5c9b5c2b5
14657694b75a
1536852ae549
hex1ec3c282b4

132133323444 has 24 divisors (see below), whose sum is σ = 310664611488. Its totient is φ = 43708223520.

The previous prime is 132133323433. The next prime is 132133323451. The reversal of 132133323444 is 444323331231.

It is a happy number.

It is a super-2 number, since 2×1321333234442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42025567 + ... + 42028710.

It is an arithmetic number, because the mean of its divisors is an integer number (12944358812).

Almost surely, 2132133323444 is an apocalyptic number.

It is an amenable number.

132133323444 is an abundant number, since it is smaller than the sum of its proper divisors (178531288044).

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

132133323444 is a wasteful number, since it uses less digits than its factorization.

132133323444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84054415 (or 84054413 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 132133323444 its reverse (444323331231), we get a palindrome (576456654675).

The spelling of 132133323444 in words is "one hundred thirty-two billion, one hundred thirty-three million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 84054277 168108554 252162831 336217108 504325662 1008651324 11011110287 22022220574 33033330861 44044441148 66066661722 132133323444