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212031020201 = 711213171959617
BaseRepresentation
bin1100010101111000001…
…0001001110010101001
3202021021210202211120012
43011132002021302221
511433214420121301
6241223344341305
721214216635440
oct3053602116251
9667253684505
10212031020201
1181a15a8a800
1235114914835
1316cc0a25140
14a395c95d57
1557ae7c0ebb
hex315e089ca9

212031020201 has 96 divisors (see below), whose sum is σ = 319705102080. Its totient is φ = 135981711360.

The previous prime is 212031020191. The next prime is 212031020209. The reversal of 212031020201 is 102020130212.

It is a happy number.

It is not a de Polignac number, because 212031020201 - 218 = 212030758057 is a prime.

It is a super-3 number, since 3×2120310202013 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212031020209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3526745 + ... + 3586361.

It is an arithmetic number, because the mean of its divisors is an integer number (3330261480).

Almost surely, 2212031020201 is an apocalyptic number.

It is an amenable number.

212031020201 is a deficient number, since it is larger than the sum of its proper divisors (107674081879).

212031020201 is a wasteful number, since it uses less digits than its factorization.

212031020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59695 (or 59684 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212031020201 its reverse (102020130212), we get a palindrome (314051150413).

The spelling of 212031020201 in words is "two hundred twelve billion, thirty-one million, twenty thousand, two hundred one".

Divisors: 1 7 11 13 17 19 77 91 119 121 133 143 187 209 221 247 323 847 1001 1309 1463 1547 1573 1729 2057 2261 2299 2431 2717 3553 4199 11011 14399 16093 17017 19019 24871 26741 29393 29887 39083 46189 59617 187187 209209 273581 323323 417319 508079 655787 775021 1013489 1132723 3556553 4590509 5425147 7094423 7213657 7929061 8525231 11148379 12459953 13175357 14725399 19256291 50495599 59676617 78038653 87219671 92227499 93777541 103077793 122632169 134794037 137059483 144928927 161979389 211819201 250331783 656442787 858425183 959416381 1014502489 1133855723 1482734407 1594218197 1752322481 1781773279 2330011211 2753649613 11159527379 12472412953 16310078477 19275547291 30290145743 212031020201