Search a number
-
+
100303135153 = 1322933692689
BaseRepresentation
bin101110101101010001…
…0000110000110110001
3100120220022001012111121
41131122202012012301
53120410100311103
6114024552142241
710150414403314
oct1353242060661
9316808035447
10100303135153
11395a1561021
1217533397981
1395c6567560
144bd740c97b
152920b676bd
hex175a8861b1

100303135153 has 8 divisors (see below), whose sum is σ = 108490461800. Its totient is φ = 92183194368.

The previous prime is 100303135139. The next prime is 100303135189. The reversal of 100303135153 is 351531303001.

It can be written as a sum of positive squares in 4 ways, for example, as 17447239744 + 82855895409 = 132088^2 + 287847^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100303135153 - 29 = 100303134641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100303135133) 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 7 ways as a sum of consecutive naturals, for example, 16843368 + ... + 16849321.

It is an arithmetic number, because the mean of its divisors is an integer number (13561307725).

Almost surely, 2100303135153 is an apocalyptic number.

100303135153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100303135153 is a deficient number, since it is larger than the sum of its proper divisors (8187326647).

100303135153 is a wasteful number, since it uses less digits than its factorization.

100303135153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33692931.

The product of its (nonzero) digits is 2025, while the sum is 25.

Adding to 100303135153 its reverse (351531303001), we get a palindrome (451834438154).

The spelling of 100303135153 in words is "one hundred billion, three hundred three million, one hundred thirty-five thousand, one hundred fifty-three".

Divisors: 1 13 229 2977 33692689 438004957 7715625781 100303135153