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31212221300 = 225213223591361
BaseRepresentation
bin11101000100011001…
…001011001101110100
32222120020022010101022
4131010121023031310
51002410312040200
622201054120312
72153316334511
oct350431131564
988506263338
1031212221300
1112267537917
126070ab0098
132c35578200
14172143a308
15c2a27a885
hex74464b374

31212221300 has 216 divisors, whose sum is σ = 77884390080. Its totient is φ = 10828646400.

The previous prime is 31212221279. The next prime is 31212221303. The reversal of 31212221300 is 312221213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212221303) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22932620 + ... + 22933980.

It is an arithmetic number, because the mean of its divisors is an integer number (360575880).

Almost surely, 231212221300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38942195040).

31212221300 is an abundant number, since it is smaller than the sum of its proper divisors (46672168780).

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

31212221300 is a wasteful number, since it uses less digits than its factorization.

31212221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31212221300 its reverse (312221213), we get a palindrome (31524442513).

The spelling of 31212221300 in words is "thirty-one billion, two hundred twelve million, two hundred twenty-one thousand, three hundred".