Search a number
-
+
10201332105 = 335263287321
BaseRepresentation
bin10011000000000101…
…11111100110001001
3222022221121100212000
421200002333212021
5131343020111410
64404133541213
7510540615006
oct114002774611
928287540760
1010201332105
114365427888
121b884a4809
13c6761cbb3
146cabb08ad
153ea8cbdc0
hex2600bf989

10201332105 has 32 divisors (see below), whose sum is σ = 18204721920. Its totient is φ = 5420004480.

The previous prime is 10201332091. The next prime is 10201332143. The reversal of 10201332105 is 50123310201.

It is not a de Polignac number, because 10201332105 - 25 = 10201332073 is a prime.

It is a super-3 number, since 3×102013321053 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108156 + ... + 179165.

It is an arithmetic number, because the mean of its divisors is an integer number (568897560).

Almost surely, 210201332105 is an apocalyptic number.

10201332105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10201332105 is a deficient number, since it is larger than the sum of its proper divisors (8003389815).

10201332105 is a wasteful number, since it uses less digits than its factorization.

10201332105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287598 (or 287592 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10201332105 its reverse (50123310201), we get a palindrome (60324642306).

The spelling of 10201332105 in words is "ten billion, two hundred one million, three hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 135 263 789 1315 2367 3945 7101 11835 35505 287321 861963 1436605 2585889 4309815 7757667 12929445 38788335 75565423 226696269 377827115 680088807 1133481345 2040266421 3400444035 10201332105