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132332221120 = 2651123417671
BaseRepresentation
bin111101100111110011…
…1010111001011000000
3110122120110102100112211
41323033213113023000
54132004022033440
6140443110431504
712363213214561
oct1731747271300
9418513370484
10132332221120
11511380a8400
1221791962594
13c62c11b928
146595124168
15369799beea
hex1ecf9d72c0

132332221120 has 84 divisors (see below), whose sum is σ = 346367386512. Its totient is φ = 48120793600.

The previous prime is 132332221103. The next prime is 132332221123. The reversal of 132332221120 is 21122233231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132332221091 and 132332221100.

It is not an unprimeable number, because it can be changed into a prime (132332221123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1670116 + ... + 1747555.

It is an arithmetic number, because the mean of its divisors is an integer number (4123421268).

Almost surely, 2132332221120 is an apocalyptic number.

132332221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132332221120 is an abundant number, since it is smaller than the sum of its proper divisors (214035165392).

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

132332221120 is a wasteful number, since it uses less digits than its factorization.

132332221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417710 (or 3417689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132332221120 its reverse (21122233231), we get a palindrome (153454454351).

The spelling of 132332221120 in words is "one hundred thirty-two billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 3417671 6835342 13670684 17088355 27341368 34176710 37594381 54682736 68353420 75188762 109365472 136706840 150377524 187971905 218730944 273413680 300755048 375943810 413538191 546827360 601510096 751887620 827076382 1093654720 1203020192 1503775240 1654152764 2067690955 2406040384 3007550480 3308305528 4135381910 6015100960 6616611056 8270763820 12030201920 13233222112 16541527640 26466444224 33083055280 66166110560 132332221120