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211012011210 = 2357111323237359
BaseRepresentation
bin1100010010000101001…
…0111100010011001010
3202011122210022211000110
43010201102330103022
511424123033324320
6240534303415150
721150034333650
oct3044122742312
9664583284013
10211012011210
1181542863210
1234a8b5b44b6
1316b8a890940
14a2da7dadd0
1557500d75e0
hex31214bc4ca

211012011210 has 768 divisors, whose sum is σ = 732053790720. Its totient is φ = 37562849280.

The previous prime is 211012011191. The next prime is 211012011241. The reversal of 211012011210 is 12110210112.

211012011210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 587777011 + ... + 587777369.

It is an arithmetic number, because the mean of its divisors is an integer number (953195040).

Almost surely, 2211012011210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366026895360).

211012011210 is an abundant number, since it is smaller than the sum of its proper divisors (521041779510).

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

211012011210 is a wasteful number, since it uses less digits than its factorization.

211012011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211012011210 its reverse (12110210112), we get a palindrome (223122221322).

The spelling of 211012011210 in words is "two hundred eleven billion, twelve million, eleven thousand, two hundred ten".