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212322303100 = 225273149195203
BaseRepresentation
bin1100010110111101100…
…1010011110001111100
3202022001002212112120201
43011233121103301330
511434314002144400
6241312311453244
721224354540635
oct3055731236174
9668032775521
10212322303100
118205544a976
1235196387224
131703919029b
14a3c283a88c
1557ca15c06a
hex316f653c7c

212322303100 has 72 divisors (see below), whose sum is σ = 470187874800. Its totient is φ = 83202900480.

The previous prime is 212322303013. The next prime is 212322303113. The reversal of 212322303100 is 1303223212.

It is a super-2 number, since 2×2123223031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990099 + ... + 1185301.

It is an arithmetic number, because the mean of its divisors is an integer number (6530387150).

Almost surely, 2212322303100 is an apocalyptic number.

212322303100 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 212322303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235093937400).

212322303100 is an abundant number, since it is smaller than the sum of its proper divisors (257865571700).

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

212322303100 is a wasteful number, since it uses less digits than its factorization.

212322303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195439 (or 195432 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212322303100 its reverse (1303223212), we get a palindrome (213625526312).

The spelling of 212322303100 in words is "two hundred twelve billion, three hundred twenty-two million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 149 292 298 365 596 730 745 1460 1490 1825 2980 3650 3725 7300 7450 10877 14900 21754 43508 54385 108770 195203 217540 271925 390406 543850 780812 976015 1087700 1952030 3904060 4880075 9760150 14249819 19520300 28499638 29085247 56999276 58170494 71249095 116340988 142498190 145426235 284996380 290852470 356245475 581704940 712490950 727131175 1424981900 1454262350 2123223031 2908524700 4246446062 8492892124 10616115155 21232230310 42464460620 53080575775 106161151550 212322303100