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212210221300 = 2252711101353773
BaseRepresentation
bin1100010110100010110…
…1110000000011110100
3202021202021222012020221
43011220231300003310
511434101304040200
6241253225304124
721221524055560
oct3055055600364
9667667865227
10212210221300
1181aa8157190
1235164935044
131701bba94ac
14a3b19c26a0
1557c03bc91a
hex3168b700f4

212210221300 has 288 divisors, whose sum is σ = 582204236544. Its totient is φ = 65218560000.

The previous prime is 212210221283. The next prime is 212210221339. The reversal of 212210221300 is 3122012212.

It is a happy number.

It is a congruent number.

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, 274527714 + ... + 274528486.

It is an arithmetic number, because the mean of its divisors is an integer number (2021542488).

Almost surely, 2212210221300 is an apocalyptic number.

212210221300 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 212210221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291102118272).

212210221300 is an abundant number, since it is smaller than the sum of its proper divisors (369994015244).

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

212210221300 is a wasteful number, since it uses less digits than its factorization.

212210221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212210221300 its reverse (3122012212), we get a palindrome (215332233512).

The spelling of 212210221300 in words is "two hundred twelve billion, two hundred ten million, two hundred twenty-one thousand, three hundred".