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11331200132320 = 2551011327528401
BaseRepresentation
bin1010010011100100000000…
…1010001010010011100000
31111010020210211010122110211
42210321000022022103200
52441122244213213240
640033251555503504
72246436462643615
oct244710012122340
944106724118424
1011331200132320
113679598086432
12133008bbb7b94
136426b2157503
142b260c28850c
15149b3d006bea
hexa4e4028a4e0

11331200132320 has 96 divisors (see below), whose sum is σ = 27055433655936. Its totient is φ = 4484213760000.

The previous prime is 11331200132201. The next prime is 11331200132381. The reversal of 11331200132320 is 2323100213311.

It is a junction number, because it is equal to n+sod(n) for n = 11331200132291 and 11331200132300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21180120 + ... + 21708520.

It is an arithmetic number, because the mean of its divisors is an integer number (281827433916).

Almost surely, 211331200132320 is an apocalyptic number.

11331200132320 is a gapful number since it is divisible by the number (10) 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 11331200132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527716827968).

11331200132320 is an abundant number, since it is smaller than the sum of its proper divisors (15724233523616).

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

11331200132320 is a wasteful number, since it uses less digits than its factorization.

11331200132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529844 (or 529836 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11331200132320 its reverse (2323100213311), we get a palindrome (13654300345631).

The spelling of 11331200132320 in words is "eleven trillion, three hundred thirty-one billion, two hundred million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1327 1616 2020 2654 3232 4040 5308 6635 8080 10616 13270 16160 21232 26540 42464 53080 106160 134027 212320 268054 528401 536108 670135 1056802 1072216 1340270 2113604 2144432 2642005 2680540 4227208 4288864 5284010 5361080 8454416 10568020 10722160 16908832 21136040 21444320 42272080 53368501 84544160 106737002 213474004 266842505 426948008 533685010 701188127 853896016 1067370020 1402376254 1707792032 2134740040 2804752508 3505940635 4269480080 5609505016 7011881270 8538960160 11219010032 14023762540 22438020064 28047525080 56095050160 70820000827 112190100320 141640001654 283280003308 354100004135 566560006616 708200008270 1133120013232 1416400016540 2266240026464 2832800033080 5665600066160 11331200132320