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201330312200 = 23523171601761
BaseRepresentation
bin1011101110000000111…
…0001100010000001000
3201020200001111112202122
42323200032030100020
511244311024442300
6232253451150412
720355103263143
oct2734016142010
9636601445678
10201330312200
1178424792476
1233029145408
1315ca6b0b264
149a5ca5305a
155385150c85
hex2ee038c408

201330312200 has 192 divisors, whose sum is σ = 491458544640. Its totient is φ = 76608000000.

The previous prime is 201330312173. The next prime is 201330312217. The reversal of 201330312200 is 2213033102.

201330312200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013303122002 (a number of 23 digits) contains 22 as substring.

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, 264559820 + ... + 264560580.

It is an arithmetic number, because the mean of its divisors is an integer number (2559679920).

Almost surely, 2201330312200 is an apocalyptic number.

201330312200 is a gapful number since it is divisible by the number (20) 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 201330312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245729272320).

201330312200 is an abundant number, since it is smaller than the sum of its proper divisors (290128232440).

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

201330312200 is a wasteful number, since it uses less digits than its factorization.

201330312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 201330312200 its reverse (2213033102), we get a palindrome (203543345302).

The spelling of 201330312200 in words is "two hundred one billion, three hundred thirty million, three hundred twelve thousand, two hundred".