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201230100211200 = 29352293113144497
BaseRepresentation
bin101101110000010010001000…
…101001000010011000000000
3222101111102001200012022211220
4231300102020221002120000
5202333423221123224300
61551551455402035040
760246252321511404
oct5560221051023000
9871442050168756
10201230100211200
115913322a569645
121a69b8a94a8a80
138838bbc927638
143799835a01104
15183e6cb59ada0
hexb70488a42600

201230100211200 has 960 divisors, whose sum is σ = 715291352709120. Its totient is φ = 49755783168000.

The previous prime is 201230100211121. The next prime is 201230100211201. The reversal of 201230100211200 is 2112001032102.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201230100211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201230100211201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4522307352 + ... + 4522351848.

It is an arithmetic number, because the mean of its divisors is an integer number (745095159072).

Almost surely, 2201230100211200 is an apocalyptic number.

201230100211200 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 201230100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357645676354560).

201230100211200 is an abundant number, since it is smaller than the sum of its proper divisors (514061252497920).

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

201230100211200 is a wasteful number, since it uses less digits than its factorization.

201230100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44719 (or 44698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201230100211200 its reverse (2112001032102), we get a palindrome (203342101243302).

The spelling of 201230100211200 in words is "two hundred one trillion, two hundred thirty billion, one hundred million, two hundred eleven thousand, two hundred".