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201030332000 = 2553431279203
BaseRepresentation
bin1011101100111001010…
…1110110111001100000
3201012220011000222021212
42323032111312321200
511243202231111000
6232204013405252
720344501425251
oct2731625667140
9635804028255
10201030332000
1178290421953
1232b64799828
1315c59919494
149a30c86b28
155368b47c35
hex2ece576e60

201030332000 has 192 divisors, whose sum is σ = 509453328384. Its totient is φ = 77915174400.

The previous prime is 201030331979. The next prime is 201030332003. The reversal of 201030332000 is 233030102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201030332003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21839399 + ... + 21848601.

It is an arithmetic number, because the mean of its divisors is an integer number (2653402752).

Almost surely, 2201030332000 is an apocalyptic number.

201030332000 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 201030332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254726664192).

201030332000 is an abundant number, since it is smaller than the sum of its proper divisors (308422996384).

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

201030332000 is a wasteful number, since it uses less digits than its factorization.

201030332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 201030332000 its reverse (233030102), we get a palindrome (201263362102).

The spelling of 201030332000 in words is "two hundred one billion, thirty million, three hundred thirty-two thousand".