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11332202132004 = 223131731522726371
BaseRepresentation
bin1010010011100111101111…
…1000011111001000100100
31111010100101122120111122020
42210321323320133020210
52441131322221211004
640033535232103140
72246503350543525
oct244717370371044
944110348514566
1011332202132004
113679a61745646
12133030b694ab0
13642811914930
142b26a539684c
15149b9ae808d9
hexa4e7be1f224

11332202132004 has 192 divisors, whose sum is σ = 31130578870272. Its totient is φ = 3175133644800.

The previous prime is 11332202132003. The next prime is 11332202132071. The reversal of 11332202132004 is 40023120223311.

It is not an unprimeable number, because it can be changed into a prime (11332202132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429708939 + ... + 429735309.

It is an arithmetic number, because the mean of its divisors is an integer number (162138431616).

Almost surely, 211332202132004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332202132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15565289435136).

11332202132004 is an abundant number, since it is smaller than the sum of its proper divisors (19798376738268).

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

11332202132004 is a wasteful number, since it uses less digits than its factorization.

11332202132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31666 (or 31664 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11332202132004 its reverse (40023120223311), we get a palindrome (51355322355315).

The spelling of 11332202132004 in words is "eleven trillion, three hundred thirty-two billion, two hundred two million, one hundred thirty-two thousand, four".