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11323023010332 = 223111672029253157
BaseRepresentation
bin1010010011000101100011…
…0000111010101000011100
31111002110200221102210212220
42210301120300322220130
52441004022342312312
640025420331425340
72246030031363045
oct244613060725034
944073627383786
1011323023010332
113676081331680
12132a5895b5250
136419ab00a4a7
142b20742758cc
151498101c0c8c
hexa4c58c3aa1c

11323023010332 has 96 divisors (see below), whose sum is σ = 29009233451520. Its totient is φ = 3408978443520.

The previous prime is 11323023010319. The next prime is 11323023010339. The reversal of 11323023010332 is 23301032032311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323023010339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44600698 + ... + 44853854.

It is an arithmetic number, because the mean of its divisors is an integer number (302179515120).

Almost surely, 211323023010332 is an apocalyptic number.

11323023010332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323023010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504616725760).

11323023010332 is an abundant number, since it is smaller than the sum of its proper divisors (17686210441188).

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

11323023010332 is a wasteful number, since it uses less digits than its factorization.

11323023010332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255371 (or 255369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11323023010332 its reverse (23301032032311), we get a palindrome (34624055042643).

The spelling of 11323023010332 in words is "eleven trillion, three hundred twenty-three billion, twenty-three million, ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 2029 3674 4058 5511 6087 7348 8116 11022 12174 22044 22319 24348 44638 66957 89276 133914 253157 267828 338843 506314 677686 759471 1012628 1016529 1355372 1518942 2033058 2784727 3037884 3727273 4066116 5569454 7454546 8354181 11138908 11181819 14909092 16708362 22363638 33416724 42277219 44727276 84554438 126831657 169108876 253663314 465049409 507326628 513655553 930098818 1027311106 1395148227 1540966659 1860197636 2054622212 2790296454 3081933318 5580592908 5650211083 6163866636 11300422166 16950633249 22600844332 33901266498 67802532996 85780477351 171560954702 257341432053 343121909404 514682864106 943585250861 1029365728212 1887170501722 2830755752583 3774341003444 5661511505166 11323023010332