Search a number
-
+
120073327308 = 22321135634451
BaseRepresentation
bin110111111010011101…
…1011001001011001100
3102110221010011000122200
41233310323121023030
53431402232433213
6131054432041500
711450346304434
oct1576473311314
9373833130580
10120073327308
1146a17299000
121b330393290
13b42744c4cc
145b50d932c4
1531cb63c273
hex1bf4ed92cc

120073327308 has 144 divisors (see below), whose sum is σ = 334515871872. Its totient is φ = 36313068000.

The previous prime is 120073327279. The next prime is 120073327313. The reversal of 120073327308 is 803723370021.

120073327308 is a `hidden beast` number, since 1 + 20 + 0 + 7 + 3 + 327 + 308 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26974483 + ... + 26978933.

It is an arithmetic number, because the mean of its divisors is an integer number (2323026888).

Almost surely, 2120073327308 is an apocalyptic number.

120073327308 is a gapful number since it is divisible by the number (18) 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 120073327308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167257935936).

120073327308 is an abundant number, since it is smaller than the sum of its proper divisors (214442544564).

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

120073327308 is a wasteful number, since it uses less digits than its factorization.

120073327308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 120073327308 its reverse (803723370021), we get a palindrome (923796697329).

The spelling of 120073327308 in words is "one hundred twenty billion, seventy-three million, three hundred twenty-seven thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 563 726 1089 1126 1331 1452 1689 2178 2252 2662 3378 3993 4356 4451 5067 5324 6193 6756 7986 8902 10134 11979 12386 13353 15972 17804 18579 20268 23958 24772 26706 37158 40059 47916 48961 53412 55737 68123 74316 80118 97922 111474 136246 146883 160236 195844 204369 222948 272492 293766 408738 440649 538571 587532 613107 749353 817476 881298 1077142 1226214 1498706 1615713 1762596 2154284 2248059 2452428 2505913 2997412 3231426 4496118 4847139 5011826 5924281 6462852 6744177 7517739 8992236 9694278 10023652 11848562 13488354 15035478 17772843 19388556 22553217 23697124 26976708 27565043 30070956 35545686 45106434 53318529 55130086 71091372 82695129 90212868 106637058 110260172 165390258 213274116 248085387 303215473 330780516 496170774 606430946 909646419 992341548 1212861892 1819292838 2728939257 3335370203 3638585676 5457878514 6670740406 10006110609 10915757028 13341480812 20012221218 30018331827 40024442436 60036663654 120073327308