Search a number
-
+
332302312100 = 225211227463001
BaseRepresentation
bin1001101010111101100…
…00101110001010100100
31011202201201102111120202
410311132300232022210
520421023342441400
6412354011450032
733002522022353
oct4653660561244
91152651374522
10332302312100
11118a23aa0500
125449b456918
132544a198355
141212525b99a
15899d4b44d5
hex4d5ec2e2a4

332302312100 has 54 divisors (see below), whose sum is σ = 792609700722. Its totient is φ = 120837200000.

The previous prime is 332302312079. The next prime is 332302312109. The reversal of 332302312100 is 1213203233.

It can be written as a sum of positive squares in 3 ways, for example, as 11230488676 + 321071823424 = 105974^2 + 566632^2 .

It is a super-2 number, since 2×3323023121002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (332302312109) 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 17 ways as a sum of consecutive naturals, for example, 13719401 + ... + 13743600.

Almost surely, 2332302312100 is an apocalyptic number.

It is an amenable number.

332302312100 is an abundant number, since it is smaller than the sum of its proper divisors (460307388622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332302312100 is a wasteful number, since it uses less digits than its factorization.

332302312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27463037 (or 27463019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 332302312100 its reverse (1213203233), we get a palindrome (333515515333).

The spelling of 332302312100 in words is "three hundred thirty-two billion, three hundred two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 27463001 54926002 109852004 137315005 274630010 302093011 549260020 604186022 686575025 1208372044 1373150050 1510465055 2746300100 3020930110 3323023121 6041860220 6646046242 7552325275 13292092484 15104650550 16615115605 30209301100 33230231210 66460462420 83075578025 166151156050 332302312100