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211012330231200 = 25352175369396323
BaseRepresentation
bin101111111110101000100010…
…111111001001010110100000
31000200010120201002210101021110
4233332220202333021112200
5210124211223014344300
62024441420512423320
762306065152655101
oct5776504277112640
91020116632711243
10211012330231200
1161264910376483
121b7bb72a547b40
1390984ba09b814
143a170a09ba3a8
15195ddace9a550
hexbfea22fc95a0

211012330231200 has 288 divisors, whose sum is σ = 727268884687296. Its totient is φ = 52958421237760.

The previous prime is 211012330231169. The next prime is 211012330231229. The reversal of 211012330231200 is 2132033210112.

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, 2190626239 + ... + 2190722561.

It is an arithmetic number, because the mean of its divisors is an integer number (2525239182942).

Almost surely, 2211012330231200 is an apocalyptic number.

211012330231200 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 211012330231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363634442343648).

211012330231200 is an abundant number, since it is smaller than the sum of its proper divisors (516256554456096).

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

211012330231200 is a wasteful number, since it uses less digits than its factorization.

211012330231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150056 (or 150043 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211012330231200 its reverse (2132033210112), we get a palindrome (213144363441312).

The spelling of 211012330231200 in words is "two hundred eleven trillion, twelve billion, three hundred thirty million, two hundred thirty-one thousand, two hundred".