Search a number
-
+
120322332032 = 2771071399029
BaseRepresentation
bin111000000001111000…
…1010001010110000000
3102111120110200202220212
41300003301101112000
53432410004111112
6131135245053252
711456461642640
oct1600361212600
9374513622825
10120322332032
1147034901a31
121b39b857228
13b466c03b96
145b76090520
1531e3426522
hex1c03c51580

120322332032 has 128 divisors (see below), whose sum is σ = 278528544000. Its totient is φ = 50711648256.

The previous prime is 120322332001. The next prime is 120322332037. The reversal of 120322332032 is 230233223021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 120322331989 and 120322332007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120322332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13321694 + ... + 13330722.

It is an arithmetic number, because the mean of its divisors is an integer number (2176004250).

Almost surely, 2120322332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120322332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139264272000).

120322332032 is an abundant number, since it is smaller than the sum of its proper divisors (158206211968).

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

120322332032 is a wasteful number, since it uses less digits than its factorization.

120322332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 120322332032 its reverse (230233223021), we get a palindrome (350555555053).

The spelling of 120322332032 in words is "one hundred twenty billion, three hundred twenty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 139 214 224 278 428 448 556 749 856 896 973 1112 1498 1712 1946 2224 2996 3424 3892 4448 5992 6848 7784 8896 9029 11984 13696 14873 15568 17792 18058 23968 29746 31136 36116 47936 59492 62272 63203 72232 95872 104111 118984 124544 126406 144464 208222 237968 252812 288928 416444 475936 505624 577856 832888 951872 966103 1011248 1155712 1255031 1665776 1903744 1932206 2022496 2510062 3331552 3864412 4044992 5020124 6663104 6762721 7728824 8089984 8785217 10040248 13326208 13525442 15457648 17570434 20080496 27050884 30915296 35140868 40160992 54101768 61830592 70281736 80321984 108203536 123661184 134288317 140563472 160643968 216407072 268576634 281126944 432814144 537153268 562253888 865628288 940018219 1074306536 1124507776 1880036438 2148613072 3760072876 4297226144 7520145752 8594452288 15040291504 17188904576 30080583008 60161166016 120322332032