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120263982329 = 1492820128621
BaseRepresentation
bin111000000000001001…
…0101011110011111001
3102111102101220022011202
41300000102223303321
53432300034413304
6131125402303545
711455152661121
oct1600022536371
9374371808152
10120263982329
1147004978a37
121b3841b7bb5
13b457ab412a
145b6c421c81
1531dd24c81e
hex1c004abcf9

120263982329 has 8 divisors (see below), whose sum is σ = 121079646600. Its totient is φ = 119448432000.

The previous prime is 120263982299. The next prime is 120263982353. The reversal of 120263982329 is 923289362021.

It can be written as a sum of positive squares in 4 ways, for example, as 926898025 + 119337084304 = 30445^2 + 345452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120263982329 - 232 = 115969015033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120263982229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4187639 + ... + 4216259.

It is an arithmetic number, because the mean of its divisors is an integer number (15134955825).

Almost surely, 2120263982329 is an apocalyptic number.

It is an amenable number.

120263982329 is a deficient number, since it is larger than the sum of its proper divisors (815664271).

120263982329 is a wasteful number, since it uses less digits than its factorization.

120263982329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56971.

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 120263982329 in words is "one hundred twenty billion, two hundred sixty-three million, nine hundred eighty-two thousand, three hundred twenty-nine".

Divisors: 1 149 28201 28621 4201949 4264529 807140821 120263982329