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132033530342300 = 2252972582124107
BaseRepresentation
bin11110000001010101110011…
…101011001010101110011100
3122022111021121202010000022112
4132001111303223022232130
5114301214132231423200
61144451211054333152
736545051652340526
oct3601256353125634
9568437552100275
10132033530342300
1139085118853504
1212984b961ba1b8
135889929712992
142486657cb2a16
15103e7660a2535
hex781573acab9c

132033530342300 has 108 divisors (see below), whose sum is σ = 289558695666744. Its totient is φ = 52257796761600.

The previous prime is 132033530342297. The next prime is 132033530342437. The reversal of 132033530342300 is 3243035330231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5476966847 + ... + 5476990953.

Almost surely, 2132033530342300 is an apocalyptic number.

132033530342300 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 132033530342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144779347833372).

132033530342300 is an abundant number, since it is smaller than the sum of its proper divisors (157525165324444).

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

132033530342300 is a wasteful number, since it uses less digits than its factorization.

132033530342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30136 (or 30032 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 32.

Adding to 132033530342300 its reverse (3243035330231), we get a palindrome (135276565672531).

The spelling of 132033530342300 in words is "one hundred thirty-two trillion, thirty-three billion, five hundred thirty million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 5821 9409 9700 11642 18818 23284 24107 29105 37636 47045 48214 58210 94090 96428 116420 120535 145525 188180 235225 241070 291050 470450 482140 564637 582100 602675 940900 1129274 1205350 2258548 2338379 2410700 2823185 4676758 5646370 9353516 11292740 11691895 14115925 23383790 28231850 46767580 54769789 56463700 58459475 109539578 116918950 140326847 219079156 226822763 233837900 273848945 280653694 453645526 547697890 561307388 701634235 907291052 1095395780 1134113815 1369244725 1403268470 2268227630 2738489450 2806536940 3508171175 4536455260 5476978900 5670569075 7016342350 11341138150 13611704159 14032684700 22682276300 27223408318 54446816636 68058520795 136117041590 272234083180 340292603975 680585207950 1320335303423 1361170415900 2640670606846 5281341213692 6601676517115 13203353034230 26406706068460 33008382585575 66016765171150 132033530342300