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132002134041330 = 232572632938093361
BaseRepresentation
bin11110000000111000100100…
…010011110010001011110010
3122022101021120200102200002200
4132000320210103302023302
5114300210332303310310
61144424535422524030
736542560636233420
oct3600704423621362
9568337520380080
10132002134041330
1139072877417933
121297aa93736616
135886994c959b7
142484d1a23a110
15103da29ab49c0
hex780e244f22f2

132002134041330 has 384 divisors, whose sum is σ = 395676110269440. Its totient is φ = 29908681850880.

The previous prime is 132002134041319. The next prime is 132002134041331. The reversal of 132002134041330 is 33140431200231.

It is a happy number.

132002134041330 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 213 + 4 + 0 + 413 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132002134041294 and 132002134041303.

It is not an unprimeable number, because it can be changed into a prime (132002134041331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39274658850 + ... + 39274662210.

It is an arithmetic number, because the mean of its divisors is an integer number (1030406537160).

Almost surely, 2132002134041330 is an apocalyptic number.

132002134041330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132002134041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197838055134720).

132002134041330 is an abundant number, since it is smaller than the sum of its proper divisors (263673976228110).

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

132002134041330 is a wasteful number, since it uses less digits than its factorization.

132002134041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132002134041330 its reverse (33140431200231), we get a palindrome (165142565241561).

The spelling of 132002134041330 in words is "one hundred thirty-two trillion, two billion, one hundred thirty-four million, forty-one thousand, three hundred thirty".