Search a number
-
+
132000322320 = 243251511214131
BaseRepresentation
bin111101011101111010…
…1010001001100010000
3110121201022220010222200
41322323311101030100
54130314040303240
6140350133003200
712352043140566
oct1727365211420
9417638803880
10132000322320
1150a87816979
12216ba783500
13c5a84327c9
146563009a36
15367878b930
hex1ebbd51310

132000322320 has 120 divisors (see below), whose sum is σ = 446237218752. Its totient is φ = 34966944000.

The previous prime is 132000322309. The next prime is 132000322343. The reversal of 132000322320 is 23223000231.

It is a happy number.

132000322320 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 0 + 322 + 320 = 666.

132000322320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132000322293 and 132000322302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498346 + ... + 715785.

Almost surely, 2132000322320 is an apocalyptic number.

132000322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000322320 is an abundant number, since it is smaller than the sum of its proper divisors (314236896432).

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

132000322320 is a wasteful number, since it uses less digits than its factorization.

132000322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214301 (or 1214292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132000322320 its reverse (23223000231), we get a palindrome (155223322551).

The spelling of 132000322320 in words is "one hundred thirty-two billion, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1208 1359 1510 1812 2265 2416 2718 3020 3624 4530 5436 6040 6795 7248 9060 10872 12080 13590 18120 21744 27180 36240 54360 108720 1214131 2428262 3642393 4856524 6070655 7284786 9713048 10927179 12141310 14569572 18211965 19426096 21854358 24282620 29139144 36423930 43708716 48565240 54635895 58278288 72847860 87417432 97130480 109271790 145695720 174834864 183333781 218543580 291391440 366667562 437087160 550001343 733335124 874174320 916668905 1100002686 1466670248 1650004029 1833337810 2200005372 2750006715 2933340496 3300008058 3666675620 4400010744 5500013430 6600016116 7333351240 8250020145 8800021488 11000026860 13200032232 14666702480 16500040290 22000053720 26400064464 33000080580 44000107440 66000161160 132000322320