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212300102300 = 2252112131349651
BaseRepresentation
bin1100010110111000010…
…0100111101010011100
3202021222120002121210212
43011232010213222130
511434242311233200
6241310155551552
721223665044366
oct3055604475234
9667876077725
10212300102300
1182043967100
123518aa5b5b8
13170346b9210
14a3bd8dbd36
1557c8224035
hex316e127a9c

212300102300 has 108 divisors (see below), whose sum is σ = 545332289208. Its totient is φ = 71261520000.

The previous prime is 212300102269. The next prime is 212300102303. The reversal of 212300102300 is 3201003212.

It is a happy number.

212300102300 is digitally balanced in base 2, because in such base 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 (212300102303) 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, 517526 + ... + 832125.

Almost surely, 2212300102300 is an apocalyptic number.

212300102300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300102300 is an abundant number, since it is smaller than the sum of its proper divisors (333032186908).

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

212300102300 is a wasteful number, since it uses less digits than its factorization.

212300102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349700 (or 1349682 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 212300102300 its reverse (3201003212), we get a palindrome (215501105512).

The spelling of 212300102300 in words is "two hundred twelve billion, three hundred million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 220 242 260 275 286 325 484 550 572 605 650 715 1100 1210 1300 1430 1573 2420 2860 3025 3146 3575 6050 6292 7150 7865 12100 14300 15730 31460 39325 78650 157300 1349651 2699302 5398604 6748255 13496510 14846161 17545463 26993020 29692322 33741275 35090926 59384644 67482550 70181852 74230805 87727315 134965100 148461610 163307771 175454630 193000093 296923220 326615542 350909260 371154025 386000186 438636575 653231084 742308050 772000372 816538855 877273150 965000465 1484616100 1633077710 1754546300 1930000930 2123001023 3266155420 3860001860 4082694275 4246002046 4825002325 8165388550 8492004092 9650004650 10615005115 16330777100 19300009300 21230010230 42460020460 53075025575 106150051150 212300102300