Search a number
-
+
132122342423120 = 2457235932754327
BaseRepresentation
bin11110000010101000100001…
…010010010111101001010000
3122022210202212012201011200012
4132002220201102113221100
5114304143024130014440
61145000055521414052
736554344545513050
oct3602504122275120
9568722765634605
10132122342423120
113910985296a305
121299a24119a328
1358951113b04aa
14248aa81107560
151041c12ecce65
hex782a21497a50

132122342423120 has 40 divisors (see below), whose sum is σ = 351067938440064. Its totient is φ = 45299088830592.

The previous prime is 132122342423063. The next prime is 132122342423131. The reversal of 132122342423120 is 21324243221231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1321223424231202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 117966376604 + ... + 117966377723.

Almost surely, 2132122342423120 is an apocalyptic number.

132122342423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122342423120 is an abundant number, since it is smaller than the sum of its proper divisors (218945596016944).

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

132122342423120 is a wasteful number, since it uses less digits than its factorization.

132122342423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235932754347 (or 235932754341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 132122342423120 its reverse (21324243221231), we get a palindrome (153446585644351).

The spelling of 132122342423120 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred forty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 235932754327 471865508654 943731017308 1179663771635 1651529280289 1887462034616 2359327543270 3303058560578 3774924069232 4718655086540 6606117121156 8257646401445 9437310173080 13212234242312 16515292802890 18874620346160 26424468484624 33030585605780 66061171211560 132122342423120