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212203122300 = 2233521313744129
BaseRepresentation
bin1100010110100001001…
…0101010111001111100
3202021201210121112021000
43011220102222321330
511434042444403200
6241252413210300
721221406531021
oct3055022527174
9667653545230
10212203122300
1181aa4148644
1235162490990
131701a5921c0
14a3b0a95548
1557be969300
hex31684aae7c

212203122300 has 288 divisors, whose sum is σ = 740049508800. Its totient is φ = 51852165120.

The previous prime is 212203122289. The next prime is 212203122337. The reversal of 212203122300 is 3221302212.

212203122300 is a `hidden beast` number, since 2 + 122 + 0 + 312 + 230 + 0 = 666.

212203122300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122031223002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4786636 + ... + 4830764.

It is an arithmetic number, because the mean of its divisors is an integer number (2569616350).

Almost surely, 2212203122300 is an apocalyptic number.

212203122300 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 212203122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370024754400).

212203122300 is an abundant number, since it is smaller than the sum of its proper divisors (527846386500).

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

212203122300 is a wasteful number, since it uses less digits than its factorization.

212203122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44302 (or 44289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212203122300 its reverse (3221302212), we get a palindrome (215424424512).

The spelling of 212203122300 in words is "two hundred twelve billion, two hundred three million, one hundred twenty-two thousand, three hundred".