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132323013300 = 223523186316487
BaseRepresentation
bin111101100111100010…
…0001111001010110100
3110122112211002112210110
41323033010033022310
54131444142411200
6140442141223020
712363042024612
oct1731704171264
9418484075713
10132323013300
1151132989435
122178a861a70
13c62a24680a
146593c086b2
153696c7db50
hex1ecf10f2b4

132323013300 has 144 divisors (see below), whose sum is σ = 395686674432. Its totient is φ = 34106236800.

The previous prime is 132323013289. The next prime is 132323013301. The reversal of 132323013300 is 3310323231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323013301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8017657 + ... + 8034143.

It is an arithmetic number, because the mean of its divisors is an integer number (2747824128).

Almost surely, 2132323013300 is an apocalyptic number.

132323013300 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 132323013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197843337216).

132323013300 is an abundant number, since it is smaller than the sum of its proper divisors (263363661132).

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

132323013300 is a wasteful number, since it uses less digits than its factorization.

132323013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17398 (or 17391 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132323013300 its reverse (3310323231), we get a palindrome (135633336531).

The spelling of 132323013300 in words is "one hundred thirty-two billion, three hundred twenty-three million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 863 930 1550 1726 1860 2325 2589 3100 3452 4315 4650 5178 8630 9300 10356 12945 16487 17260 21575 25890 26753 32974 43150 49461 51780 53506 64725 65948 80259 82435 86300 98922 107012 129450 133765 160518 164870 197844 247305 258900 267530 321036 329740 401295 412175 494610 511097 535060 668825 802590 824350 989220 1022194 1236525 1337650 1533291 1605180 1648700 2006475 2044388 2473050 2555485 2675300 3066582 4012950 4946100 5110970 6133164 7666455 8025900 10221940 12777425 14228281 15332910 25554850 28456562 30665820 38332275 42684843 51109700 56913124 71141405 76664550 85369686 142282810 153329100 170739372 213424215 284565620 355707025 426848430 441076711 711414050 853696860 882153422 1067121075 1323230133 1422828100 1764306844 2134242150 2205383555 2646460266 4268484300 4410767110 5292920532 6616150665 8821534220 11026917775 13232301330 22053835550 26464602660 33080753325 44107671100 66161506650 132323013300