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201210300000 = 2532551713151
BaseRepresentation
bin1011101101100100010…
…0011000011001100000
3201020100200200021222100
42323121010120121200
511244034314100000
6232233523010400
720352115221303
oct2733104303140
9636320607870
10201210300000
1178372a72536
1232bb4b09a00
1315c87cab918
149a4ab32b3a
155379846a00
hex2ed9118660

201210300000 has 432 divisors, whose sum is σ = 757321778304. Its totient is φ = 50496000000.

The previous prime is 201210299971. The next prime is 201210300001. The reversal of 201210300000 is 3012102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210300001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15293425 + ... + 15306575.

It is an arithmetic number, because the mean of its divisors is an integer number (1753059672).

Almost surely, 2201210300000 is an apocalyptic number.

201210300000 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 201210300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378660889152).

201210300000 is an abundant number, since it is smaller than the sum of its proper divisors (556111478304).

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

201210300000 is a wasteful number, since it uses less digits than its factorization.

201210300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13209 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201210300000 its reverse (3012102), we get a palindrome (201213312102).

The spelling of 201210300000 in words is "two hundred one billion, two hundred ten million, three hundred thousand".