Search a number
-
+
100334100413 = 1927733235737
BaseRepresentation
bin101110101110001100…
…0001101111110111101
3100120222110022101212002
41131130120031332331
53120441012203123
6114032015552045
710151241532121
oct1353430157675
9316873271762
10100334100413
1139607a90748
121754182b625
1395ccab99b1
144bdb58d581
152923732528
hex175c60dfbd

100334100413 has 16 divisors (see below), whose sum is σ = 106046502720. Its totient is φ = 94665200256.

The previous prime is 100334100403. The next prime is 100334100431. The reversal of 100334100413 is 314001433001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100334100413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100334100403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17486081 + ... + 17491817.

It is an arithmetic number, because the mean of its divisors is an integer number (6627906420).

Almost surely, 2100334100413 is an apocalyptic number.

It is an amenable number.

100334100413 is a deficient number, since it is larger than the sum of its proper divisors (5712402307).

100334100413 is a wasteful number, since it uses less digits than its factorization.

100334100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100334100413 its reverse (314001433001), we get a palindrome (414335533414).

The spelling of 100334100413 in words is "one hundred billion, three hundred thirty-four million, one hundred thousand, four hundred thirteen".

Divisors: 1 19 277 3323 5263 5737 63137 109003 920471 1589149 17488949 19064051 30193831 362216969 5280742127 100334100413