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120331303032 = 23323536167427
BaseRepresentation
bin111000000010001001…
…1011111100001111000
3102111121002120112211010
41300010103133201320
53432414303144112
6131140205233520
711456631125313
oct1600423374170
9374532515733
10120331303032
1147039979a86
121b3a28628a0
13b468a25275
145b7734797a
1531e40e963c
hex1c044df878

120331303032 has 128 divisors (see below), whose sum is σ = 325078479360. Its totient is φ = 37024965120.

The previous prime is 120331303007. The next prime is 120331303061. The reversal of 120331303032 is 230303133021.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1750903 + ... + 1818329.

It is an arithmetic number, because the mean of its divisors is an integer number (2539675620).

Almost surely, 2120331303032 is an apocalyptic number.

120331303032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120331303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162539239680).

120331303032 is an abundant number, since it is smaller than the sum of its proper divisors (204747176328).

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

120331303032 is a wasteful number, since it uses less digits than its factorization.

120331303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67573 (or 67569 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 120331303032 its reverse (230303133021), we get a palindrome (350634436053).

The spelling of 120331303032 in words is "one hundred twenty billion, three hundred thirty-one million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 61 69 92 106 122 138 159 183 184 212 244 276 318 366 424 488 552 636 732 1219 1272 1403 1464 2438 2806 3233 3657 4209 4876 5612 6466 7314 8418 9699 9752 11224 12932 14628 16836 19398 25864 29256 33672 38796 67427 74359 77592 134854 148718 202281 223077 269708 297436 404562 446154 539416 594872 809124 892308 1550821 1618248 1784616 3101642 3573631 4113047 4652463 6203284 7147262 8226094 9304926 10720893 12339141 12406568 14294524 16452188 18609852 21441786 24678282 28589048 32904376 37219704 42883572 49356564 82193513 85767144 94600081 98713128 164387026 189200162 217991491 246580539 283800243 328774052 378400324 435982982 493161078 567600486 653974473 657548104 756800648 871965964 986322156 1135200972 1307948946 1743931928 1972644312 2270401944 2615897892 5013804293 5231795784 10027608586 15041412879 20055217172 30082825758 40110434344 60165651516 120331303032