Search a number
-
+
42203101320 = 23325376151941
BaseRepresentation
bin100111010011100000…
…000011100010001000
311000221012120200100200
4213103200003202020
51142412443220240
631215434532200
73022555304502
oct472340034210
9130835520320
1042203101320
1116997606736
128219897060
133c9762b703
142085014d72
151170117930
hex9d3803888

42203101320 has 192 divisors, whose sum is σ = 143179161840. Its totient is φ = 10770278400.

The previous prime is 42203101319. The next prime is 42203101361. The reversal of 42203101320 is 2310130224.

42203101320 is a `hidden beast` number, since 4 + 220 + 310 + 132 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4623728004 + 37579373316 = 67998^2 + 193854^2 .

It is a super-2 number, since 2×422031013202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42203101293 and 42203101302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786550 + ... + 838490.

Almost surely, 242203101320 is an apocalyptic number.

42203101320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71589580920).

42203101320 is an abundant number, since it is smaller than the sum of its proper divisors (100976060520).

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

42203101320 is a wasteful number, since it uses less digits than its factorization.

42203101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52056 (or 52049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42203101320 its reverse (2310130224), we get a palindrome (44513231544).

The spelling of 42203101320 in words is "forty-two billion, two hundred three million, one hundred one thousand, three hundred twenty".