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213203334300 = 2235211370917419
BaseRepresentation
bin1100011010001111101…
…0001011010010011100
3202101022111200120011220
43012203322023102130
511443120023144200
6241535543213340
721255243304005
oct3064372132234
9671274616156
10213203334300
11824677a6730
12353a1447250
1317149874a18
14a46785a1ac
15582c68d4a0
hex31a3e8b49c

213203334300 has 144 divisors (see below), whose sum is σ = 673167331200. Its totient is φ = 51668755200.

The previous prime is 213203334271. The next prime is 213203334307. The reversal of 213203334300 is 3433302312.

It is a happy number.

213203334300 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203334307) 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 47 ways as a sum of consecutive naturals, for example, 12230991 + ... + 12248409.

Almost surely, 2213203334300 is an apocalyptic number.

213203334300 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 213203334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336583665600).

213203334300 is an abundant number, since it is smaller than the sum of its proper divisors (459963996900).

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

213203334300 is a wasteful number, since it uses less digits than its factorization.

213203334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21156 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 213203334300 its reverse (3433302312), we get a palindrome (216636636612).

The spelling of 213203334300 in words is "two hundred thirteen billion, two hundred three million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3709 7418 11127 14836 17419 18545 22254 34838 37090 40799 44508 52257 55635 69676 74180 81598 87095 92725 104514 111270 122397 163196 174190 185450 191609 203995 209028 222540 244794 261285 278175 348380 370900 383218 407990 435475 489588 522570 556350 574827 611985 766436 815980 870950 958045 1019975 1045140 1112700 1149654 1223970 1306425 1741900 1916090 2039950 2299308 2447940 2612850 2874135 3059925 3832180 4079900 4790225 5225700 5748270 6119850 9580450 11496540 12239700 14370675 19160900 28741350 57482700 64607071 129214142 193821213 258428284 323035355 387642426 646070710 710677781 775284852 969106065 1292141420 1421355562 1615176775 1938212130 2132033343 2842711124 3230353550 3553388905 3876424260 4264066686 4845530325 6460707100 7106777810 8528133372 9691060650 10660166715 14213555620 17766944525 19382121300 21320333430 35533889050 42640666860 53300833575 71067778100 106601667150 213203334300