Search a number
-
+
30005008005 = 357367778643
BaseRepresentation
bin11011111100011100…
…000001011010000101
32212110002201100001210
4123330130001122011
5442422240224010
621441211242033
72111360234310
oct337434013205
985402640053
1030005008005
11117a8054685
125994749319
132aa242970b
141648d8d977
15ba92b7b20
hex6fc701685

30005008005 has 32 divisors (see below), whose sum is σ = 55015870464. Its totient is φ = 13679182656.

The previous prime is 30005008003. The next prime is 30005008039. The reversal of 30005008005 is 50080050003.

It is not a de Polignac number, because 30005008005 - 21 = 30005008003 is a prime.

It is a super-2 number, since 2×300050080052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30005008003) 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, 350787 + ... + 427856.

It is an arithmetic number, because the mean of its divisors is an integer number (1719245952).

Almost surely, 230005008005 is an apocalyptic number.

30005008005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30005008005 is a deficient number, since it is larger than the sum of its proper divisors (25010862459).

30005008005 is a wasteful number, since it uses less digits than its factorization.

30005008005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779025.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 30005008005 its reverse (50080050003), we get a palindrome (80085058008).

The spelling of 30005008005 in words is "thirty billion, five million, eight thousand, five".

Divisors: 1 3 5 7 15 21 35 105 367 1101 1835 2569 5505 7707 12845 38535 778643 2335929 3893215 5450501 11679645 16351503 27252505 81757515 285761981 857285943 1428809905 2000333867 4286429715 6001001601 10001669335 30005008005