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212000303100 = 223524117235797
BaseRepresentation
bin1100010101110000110…
…0111110011111111100
3202021012122222020121210
43011130030332133330
511433134034144400
6241220330124420
721213364562265
oct3053414763774
9667178866553
10212000303100
11819aa70a573
1235106580710
1316cb755b941
14a391b7b96c
1557abc54950
hex315c33e7fc

212000303100 has 72 divisors (see below), whose sum is σ = 628348251888. Its totient is φ = 55154547200.

The previous prime is 212000303087. The next prime is 212000303147. The reversal of 212000303100 is 1303000212.

It is a happy number.

It is a super-2 number, since 2×2120003031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8605599 + ... + 8630198.

It is an arithmetic number, because the mean of its divisors is an integer number (8727059054).

Almost surely, 2212000303100 is an apocalyptic number.

212000303100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000303100 is an abundant number, since it is smaller than the sum of its proper divisors (416347948788).

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

212000303100 is a wasteful number, since it uses less digits than its factorization.

212000303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17235855 (or 17235848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 212000303100 its reverse (1303000212), we get a palindrome (213303303312).

The spelling of 212000303100 in words is "two hundred twelve billion, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 17235797 34471594 51707391 68943188 86178985 103414782 172357970 206829564 258536955 344715940 430894925 517073910 706667677 861789850 1034147820 1292684775 1413335354 1723579700 2120003031 2585369550 2826670708 3533338385 4240006062 5170739100 7066676770 8480012124 10600015155 14133353540 17666691925 21200030310 35333383850 42400060620 53000075775 70666767700 106000151550 212000303100