Search a number
-
+
103320133011 = 3317713170399
BaseRepresentation
bin110000000111001011…
…1000001110110010011
3100212200120001120112000
41200032113001312103
53143044423224021
6115244205005043
710315240432404
oct1401627016623
9325616046460
10103320133011
113a8aa581187
1218035853783
1399876208a4
145001d9b9ab
152a4a967b26
hex180e5c1d93

103320133011 has 32 divisors (see below), whose sum is σ = 164353536000. Its totient is φ = 63915223680.

The previous prime is 103320132991. The next prime is 103320133043. The reversal of 103320133011 is 110331023301.

It is a happy number.

103320133011 is a `hidden beast` number, since 1 + 0 + 3 + 320 + 1 + 330 + 11 = 666.

It is not a de Polignac number, because 103320133011 - 29 = 103320132499 is a prime.

It is a super-2 number, since 2×1033201330112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103320133051) 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 31 ways as a sum of consecutive naturals, for example, 1552611 + ... + 1617788.

It is an arithmetic number, because the mean of its divisors is an integer number (5136048000).

Almost surely, 2103320133011 is an apocalyptic number.

103320133011 is a deficient number, since it is larger than the sum of its proper divisors (61033402989).

103320133011 is a wasteful number, since it uses less digits than its factorization.

103320133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170496 (or 3170490 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103320133011 its reverse (110331023301), we get a palindrome (213651156312).

The spelling of 103320133011 in words is "one hundred three billion, three hundred twenty million, one hundred thirty-three thousand, eleven".

Divisors: 1 3 9 17 27 51 71 153 213 459 639 1207 1917 3621 10863 32589 3170399 9511197 28533591 53896783 85600773 161690349 225098329 485071047 675294987 1455213141 2025884961 3826671593 6077654883 11480014779 34440044337 103320133011