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132364114300 = 225211271154073
BaseRepresentation
bin111101101000110000…
…1000001100101111100
3110122122200102200202201
41323101201001211330
54132040203124200
6140450210201244
712364051256605
oct1732141014574
9418580380681
10132364114300
1151154101200
12217a0583224
13c635907532
146599466dac
15369a69bc6a
hex1ed184197c

132364114300 has 108 divisors (see below), whose sum is σ = 320164539408. Its totient is φ = 47454176000.

The previous prime is 132364114249. The next prime is 132364114343. The reversal of 132364114300 is 3411463231.

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, 782064 + ... + 936136.

It is an arithmetic number, because the mean of its divisors is an integer number (2964486476).

Almost surely, 2132364114300 is an apocalyptic number.

132364114300 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 132364114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160082269704).

132364114300 is an abundant number, since it is smaller than the sum of its proper divisors (187800425108).

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

132364114300 is a wasteful number, since it uses less digits than its factorization.

132364114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154180 (or 154162 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132364114300 its reverse (3411463231), we get a palindrome (135775577531).

The spelling of 132364114300 in words is "one hundred thirty-two billion, three hundred sixty-four million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 121 142 220 242 275 284 355 484 550 605 710 781 1100 1210 1420 1562 1775 2420 3025 3124 3550 3905 6050 7100 7810 8591 12100 15620 17182 19525 34364 39050 42955 78100 85910 154073 171820 214775 308146 429550 616292 770365 859100 1540730 1694803 3081460 3389606 3851825 6779212 7703650 8474015 10939183 15407300 16948030 18642833 21878366 33896060 37285666 42370075 43756732 54695915 74571332 84740150 93214165 109391830 120331013 169480300 186428330 218783660 240662026 273479575 372856660 466070825 481324052 546959150 601655065 932141650 1093918300 1203310130 1323641143 1864283300 2406620260 2647282286 3008275325 5294564572 6016550650 6618205715 12033101300 13236411430 26472822860 33091028575 66182057150 132364114300