Search a number
-
+
103321100001 = 375392831177
BaseRepresentation
bin110000000111001101…
…0101101111011100001
3100212200121212200222110
41200032122231323201
53143100200200001
6115244241425533
710315251600540
oct1401632557341
9325617780873
10103321100001
113a900081749
121803603b2a9
13998789ba82
145002170157
152a4aaa93d6
hex180e6adee1

103321100001 has 16 divisors (see below), whose sum is σ = 160412275584. Its totient is φ = 57926653824.

The previous prime is 103321099943. The next prime is 103321100023. The reversal of 103321100001 is 100001123301.

It is not a de Polignac number, because 103321100001 - 29 = 103321099489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103321100001.

It is not an unprimeable number, because it can be changed into a prime (103321100081) 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 15 ways as a sum of consecutive naturals, for example, 46414476 + ... + 46416701.

It is an arithmetic number, because the mean of its divisors is an integer number (10025767224).

Almost surely, 2103321100001 is an apocalyptic number.

It is an amenable number.

103321100001 is a deficient number, since it is larger than the sum of its proper divisors (57091175583).

103321100001 is an equidigital number, since it uses as much as digits as its factorization.

103321100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92831240.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103321100001 its reverse (100001123301), we get a palindrome (203322223302).

The spelling of 103321100001 in words is "one hundred three billion, three hundred twenty-one million, one hundred thousand, one".

Divisors: 1 3 7 21 53 159 371 1113 92831177 278493531 649818239 1949454717 4920052381 14760157143 34440366667 103321100001