Search a number
-
+
120020032005 = 35431079917231
BaseRepresentation
bin110111111000111000…
…0000101101000000101
3102110210101212100020120
41233301300011220011
53431300112011010
6131045245452153
711446131303516
oct1576160055005
9373711770216
10120020032005
114699a1a74a5
121b316571059
13b4193ac223
145b47c7ca0d
1531c6b10e70
hex1bf1c05a05

120020032005 has 32 divisors (see below), whose sum is σ = 196527513600. Its totient is φ = 62512645440.

The previous prime is 120020031979. The next prime is 120020032007. The reversal of 120020032005 is 500230020021.

It is not a de Polignac number, because 120020032005 - 29 = 120020031493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020032007) 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, 6956740 + ... + 6973970.

It is an arithmetic number, because the mean of its divisors is an integer number (6141484800).

Almost surely, 2120020032005 is an apocalyptic number.

120020032005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120020032005 is a deficient number, since it is larger than the sum of its proper divisors (76507481595).

120020032005 is a wasteful number, since it uses less digits than its factorization.

120020032005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081.

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 120020032005 its reverse (500230020021), we get a palindrome (620250052026).

The spelling of 120020032005 in words is "one hundred twenty billion, twenty million, thirty-two thousand, five".

Divisors: 1 3 5 15 43 129 215 645 10799 17231 32397 51693 53995 86155 161985 258465 464357 740933 1393071 2222799 2321785 3704665 6965355 11113995 186077569 558232707 930387845 2791163535 8001335467 24004006401 40006677335 120020032005