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132323313312330 = 23571761975981177
BaseRepresentation
bin11110000101100011101100…
…000101011110001001001010
3122100111222121012220010210020
4132011203230011132021022
5114320441121201443310
61145232254013201310
736605021026054620
oct3605435405361112
9570458535803706
10132323313312330
1139187002780988
1212a11189a90236
1358ab05b8b650a
1424966a8119510
1510470767d3170
hex7858ec15e24a

132323313312330 has 128 divisors (see below), whose sum is σ = 384355666017792. Its totient is φ = 28461593468928.

The previous prime is 132323313312269. The next prime is 132323313312353. The reversal of 132323313312330 is 33213313323231.

It is a super-2 number, since 2×1323233133123302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132323313312291 and 132323313312300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19132702 + ... + 25113878.

It is an arithmetic number, because the mean of its divisors is an integer number (3002778640764).

Almost surely, 2132323313312330 is an apocalyptic number.

132323313312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323313312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192177833008896).

132323313312330 is an abundant number, since it is smaller than the sum of its proper divisors (252032352705462).

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

132323313312330 is a wasteful number, since it uses less digits than its factorization.

132323313312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987408.

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 132323313312330 its reverse (33213313323231), we get a palindrome (165536626635561).

The spelling of 132323313312330 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, three hundred thirteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 6197 12394 18591 30985 37182 43379 61970 86758 92955 105349 130137 185910 210698 216895 260274 316047 433790 526745 632094 650685 737443 1053490 1301370 1474886 1580235 2212329 3160470 3687215 4424658 5981177 7374430 11061645 11962354 17943531 22123290 29905885 35887062 41868239 59811770 83736478 89717655 101680009 125604717 179435310 203360018 209341195 251209434 305040027 418682390 508400045 610080054 628023585 711760063 1016800090 1256047170 1423520126 1525200135 2135280189 3050400270 3558800315 4270560378 7117600630 10676400945 21352801890 37065353869 74130707738 111196061607 185326769345 222392123214 259457477083 370653538690 518914954166 555980308035 630111015773 778372431249 1111960616070 1260222031546 1297287385415 1556744862498 1890333047319 2594574770830 3150555078865 3780666094638 3891862156245 4410777110411 6301110157730 7783724312490 8821554220822 9451665236595 13232331331233 18903330473190 22053885552055 26464662662466 44107771104110 66161656656165 132323313312330