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212031033300 = 2232521530715391
BaseRepresentation
bin1100010101111000001…
…0001100111111010100
3202021021210210111112100
43011132002030333110
511433214421031200
6241223344522100
721214220021562
oct3053602147724
9667253714470
10212031033300
1181a15a99629
1235114920330
1316cc0a2b0a8
14a395c9aa32
1557ae7c4d00
hex315e08cfd4

212031033300 has 108 divisors (see below), whose sum is σ = 664686096256. Its totient is φ = 56534241600.

The previous prime is 212031033299. The next prime is 212031033301. The reversal of 212031033300 is 3330130212.

212031033300 is a `hidden beast` number, since 2 + 1 + 20 + 310 + 3 + 330 + 0 = 666.

212031033300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212031033299) and next prime (212031033301).

It is a super-3 number, since 3×2120310333003 (a number of 35 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (212031033301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13768605 + ... + 13783995.

Almost surely, 2212031033300 is an apocalyptic number.

212031033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212031033300 is an abundant number, since it is smaller than the sum of its proper divisors (452655062956).

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

212031033300 is a wasteful number, since it uses less digits than its factorization.

212031033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30718 (or 30708 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 212031033300 its reverse (3330130212), we get a palindrome (215361163512).

The spelling of 212031033300 in words is "two hundred twelve billion, thirty-one million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 15307 15391 30614 30782 45921 46173 61228 61564 76535 76955 91842 92346 137763 138519 153070 153910 183684 184692 229605 230865 275526 277038 306140 307820 382675 384775 459210 461730 551052 554076 688815 692595 765350 769550 918420 923460 1148025 1154325 1377630 1385190 1530700 1539100 2296050 2308650 2755260 2770380 3444075 3462975 4592100 4617300 6888150 6925950 13776300 13851900 235590037 471180074 706770111 942360148 1177950185 1413540222 2120310333 2355900370 2827080444 3533850555 4240620666 4711800740 5889750925 7067701110 8481241332 10601551665 11779501850 14135402220 17669252775 21203103330 23559003700 35338505550 42406206660 53007758325 70677011100 106015516650 212031033300