Search a number
-
+
201201200302032 = 24327298118486941
BaseRepresentation
bin101101101111110111001110…
…000100101000011111010000
3222101101122110120220211101200
4231233313032010220133100
5202332440024234131112
61551530315544431200
760244210210364430
oct5557671604503720
9871348416824350
10201201200302032
1159121a4a2a2097
121a696182a78500
138836265445678
14379829371a2c0
15183da89324cdc
hexb6fdce1287d0

201201200302032 has 240 divisors, whose sum is σ = 666535908554880. Its totient is φ = 55435334169600.

The previous prime is 201201200302013. The next prime is 201201200302097. The reversal of 201201200302032 is 230203002102102.

201201200302032 is a `hidden beast` number, since 201 + 201 + 200 + 30 + 2 + 0 + 32 = 666.

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 = 201201200301996 and 201201200302014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19463682 + ... + 27950622.

It is an arithmetic number, because the mean of its divisors is an integer number (2777232952312).

Almost surely, 2201201200302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201201200302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333267954277440).

201201200302032 is an abundant number, since it is smaller than the sum of its proper divisors (465334708252848).

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

201201200302032 is a wasteful number, since it uses less digits than its factorization.

201201200302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487802 (or 8487793 counting only the distinct ones).

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

Adding to 201201200302032 its reverse (230203002102102), we get a palindrome (431404202404134).

The spelling of 201201200302032 in words is "two hundred one trillion, two hundred one billion, two hundred million, three hundred two thousand, thirty-two".