Search a number
-
+
103352360364 = 223211892932481
BaseRepresentation
bin110000001000001000…
…1111101110110101100
3100212202210200220010200
41200100101331312230
53143131201012424
6115251315433500
710316111365611
oct1402021756654
9325683626120
10103352360364
113a916793060
12180445b5890
1399911c5626
14500638a508
152a4d6d18c9
hex181047ddac

103352360364 has 72 divisors (see below), whose sum is σ = 288204330960. Its totient is φ = 30966988800.

The previous prime is 103352360341. The next prime is 103352360399. The reversal of 103352360364 is 463063253301.

103352360364 is a `hidden beast` number, since 10 + 3 + 3 + 523 + 60 + 3 + 64 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430997 + ... + 1501484.

It is an arithmetic number, because the mean of its divisors is an integer number (4002837930).

Almost surely, 2103352360364 is an apocalyptic number.

It is an amenable number.

103352360364 is an abundant number, since it is smaller than the sum of its proper divisors (184851970596).

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

103352360364 is a wasteful number, since it uses less digits than its factorization.

103352360364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932591 (or 2932586 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 103352360364 in words is "one hundred three billion, three hundred fifty-two million, three hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 17622 35244 2932481 5864962 8797443 11729924 17594886 26392329 32257291 35189772 52784658 64514582 96771873 105569316 129029164 193543746 260990809 290315619 387087492 521981618 580631238 782972427 1043963236 1161262476 1565944854 2348917281 2870898899 3131889708 4697834562 5741797798 8612696697 9395669124 11483595596 17225393394 25838090091 34450786788 51676180182 103352360364