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132303202320 = 24357910976361
BaseRepresentation
bin111101100110111100…
…0101010100000010000
3110122111102211001020110
41323031320222200100
54131424104433240
6140440152441320
712362411443632
oct1731570524020
9418442731213
10132303202320
1151122788123
12217840a9240
13c6260cb443
14659132ca52
153695168c80
hex1ecde2a810

132303202320 has 160 divisors (see below), whose sum is σ = 415775531520. Its totient is φ = 34797035520.

The previous prime is 132303202313. The next prime is 132303202333. The reversal of 132303202320 is 23202303231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20795940 + ... + 20802300.

It is an arithmetic number, because the mean of its divisors is an integer number (2598597072).

Almost surely, 2132303202320 is an apocalyptic number.

132303202320 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 132303202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207887765760).

132303202320 is an abundant number, since it is smaller than the sum of its proper divisors (283472329200).

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

132303202320 is a wasteful number, since it uses less digits than its factorization.

132303202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 132303202320 its reverse (23202303231), we get a palindrome (155505505551).

The spelling of 132303202320 in words is "one hundred thirty-two billion, three hundred three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1097 1185 1264 1580 1896 2194 2370 3160 3291 3792 4388 4740 5485 6320 6361 6582 8776 9480 10970 12722 13164 16455 17552 18960 19083 21940 25444 26328 31805 32910 38166 43880 50888 52656 63610 65820 76332 86663 87760 95415 101776 127220 131640 152664 173326 190830 254440 259989 263280 305328 346652 381660 433315 502519 508880 519978 693304 763320 866630 1005038 1039956 1299945 1386608 1507557 1526640 1733260 2010076 2079912 2512595 2599890 3015114 3466520 4020152 4159824 5025190 5199780 6030228 6933040 6978017 7537785 8040304 10050380 10399560 12060456 13956034 15075570 20100760 20799120 20934051 24120912 27912068 30151140 34890085 40201520 41868102 55824136 60302280 69780170 83736204 104670255 111648272 120604560 139560340 167472408 209340510 279120680 334944816 418681020 551263343 558241360 837362040 1102526686 1653790029 1674724080 2205053372 2756316715 3307580058 4410106744 5512633430 6615160116 8268950145 8820213488 11025266860 13230320232 16537900290 22050533720 26460640464 33075800580 44101067440 66151601160 132303202320