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120134332816 = 2473211872
BaseRepresentation
bin110111111100010010…
…0000111000110010000
3102111002100221102110221
41233320210013012100
53432013342122231
6131104451402424
711452016660161
oct1577044070620
9374070842427
10120134332816
1146a48776383
121b3488b3414
13b436c8c044
145b59113768
1531d1b8cd11
hex1bf8907190

120134332816 has 45 divisors (see below), whose sum is σ = 236191426401. Its totient is φ = 59194417536.

The previous prime is 120134332811. The next prime is 120134332823. The reversal of 120134332816 is 618233431021.

The square root of 120134332816 is 346604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68194099600 + 51940233216 = 261140^2 + 227904^2 .

It is a super-2 number, since 2×1201343328162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120134332811) 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 8 ways as a sum of consecutive naturals, for example, 101207775 + ... + 101208961.

Almost surely, 2120134332816 is an apocalyptic number.

120134332816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120134332816 is the 346604-th square number.

It is an amenable number.

120134332816 is a deficient number, since it is larger than the sum of its proper divisors (116057093585).

120134332816 is an frugal number, since it uses more digits than its factorization.

120134332816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 120134332816 its reverse (618233431021), we get a palindrome (738367763837).

The spelling of 120134332816 in words is "one hundred twenty billion, one hundred thirty-four million, three hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 73 146 292 584 1168 1187 2374 4748 5329 9496 10658 18992 21316 42632 85264 86651 173302 346604 693208 1386416 1408969 2817938 5635876 6325523 11271752 12651046 22543504 25302092 50604184 101208368 102854737 205709474 411418948 822837896 1645675792 7508395801 15016791602 30033583204 60067166408 120134332816