Search a number
-
+
100242314003 = 132619723767
BaseRepresentation
bin101110101011011101…
…0000101001100010011
3100120202001121011120102
41131112322011030103
53120244013022003
6114014540403015
710146045416216
oct1352672051423
9316661534512
10100242314003
113957019a207
1217516b4646b
1395b6a90900
144bcd2d977d
15291a651588
hex1756e85313

100242314003 has 12 divisors (see below), whose sum is σ = 110325871728. Its totient is φ = 91014449760.

The previous prime is 100242313957. The next prime is 100242314021. The reversal of 100242314003 is 300413242001.

It is not a de Polignac number, because 100242314003 - 26 = 100242313939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100242314083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4851575 + ... + 4872192.

It is an arithmetic number, because the mean of its divisors is an integer number (9193822644).

Almost surely, 2100242314003 is an apocalyptic number.

100242314003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100242314003 is a deficient number, since it is larger than the sum of its proper divisors (10083557725).

100242314003 is an equidigital number, since it uses as much as digits as its factorization.

100242314003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723854 (or 9723841 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100242314003 its reverse (300413242001), we get a palindrome (400655556004).

The spelling of 100242314003 in words is "one hundred billion, two hundred forty-two million, three hundred fourteen thousand, three".

Divisors: 1 13 61 169 793 10309 9723767 126408971 593149787 1643316623 7710947231 100242314003