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132332221230030 = 2335689467710867
BaseRepresentation
bin11110000101101011111111…
…000010011110101111001110
3122100112211121000201020122000
4132011223333002132233032
5114321112342113330110
61145240325544533130
736605454543111303
oct3605537702365716
9570484530636560
10132332221230030
113918a863a99338
1212a12a551811a6
1358abb4b265b33
142496cb12010aa
1510473e88711c0
hex785aff09ebce

132332221230030 has 64 divisors (see below), whose sum is σ = 352886931521280. Its totient is φ = 35288491504032.

The previous prime is 132332221230007. The next prime is 132332221230037. The reversal of 132332221230030 is 30032122233231.

132332221230030 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 322 + 2 + 1 + 2 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132332221229976 and 132332221230003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132332221230037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185800657 + ... + 186511523.

It is an arithmetic number, because the mean of its divisors is an integer number (5513858305020).

Almost surely, 2132332221230030 is an apocalyptic number.

132332221230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132332221230030 is an abundant number, since it is smaller than the sum of its proper divisors (220554710291250).

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

132332221230030 is a wasteful number, since it uses less digits than its factorization.

132332221230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400350 (or 1400344 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132332221230030 its reverse (30032122233231), we get a palindrome (162364343463261).

The spelling of 132332221230030 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, two hundred twenty-one million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 689467 710867 1378934 1421734 2068401 2132601 3447335 3554335 4136802 4265202 6205203 6397803 6894670 7108670 10342005 10663005 12410406 12795606 18615609 19193409 20684010 21326010 31026015 31989015 37231218 38386818 62052030 63978030 93078045 95967045 186156090 191934090 490119337889 980238675778 1470358013667 2450596689445 2940716027334 4411074041001 4901193378890 7351790068335 8822148082002 13233222123003 14703580136670 22055370205005 26466444246006 44110740410010 66166110615015 132332221230030