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212031123210 = 232541676011427
BaseRepresentation
bin1100010101111000001…
…0100010111100001010
3202021021210222001212100
43011132002202330022
511433214431420320
6241223350454230
721214220544654
oct3053602427412
9667253861770
10212031123210
1181a16050135
1235114964376
1316cc0a5ccaa
14a395cc16d4
1557ae7e1790
hex315e0a2f0a

212031123210 has 192 divisors, whose sum is σ = 574511543424. Its totient is φ = 54210816000.

The previous prime is 212031123203. The next prime is 212031123223. The reversal of 212031123210 is 12321130212.

212031123210 is a `hidden beast` number, since 2 + 120 + 311 + 23 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148584517 + ... + 148585943.

It is an arithmetic number, because the mean of its divisors is an integer number (2992247622).

Almost surely, 2212031123210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212031123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287255771712).

212031123210 is an abundant number, since it is smaller than the sum of its proper divisors (362480420214).

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

212031123210 is a wasteful number, since it uses less digits than its factorization.

212031123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212031123210 its reverse (12321130212), we get a palindrome (224352253422).

It can be divided in two parts, 212031 and 123210, that added together give a square (335241 = 5792).

The spelling of 212031123210 in words is "two hundred twelve billion, thirty-one million, one hundred twenty-three thousand, two hundred ten".