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212213323301 = 7219211996909
BaseRepresentation
bin1100010110100011100…
…1100101011000100101
3202021202111210210101212
43011220321211120211
511434103102321201
6241253420001205
721221562325400
oct3055071453045
9667674723355
10212213323301
1181aa9985821
1235165990205
131701c7243b5
14a3b218cd37
1557c07d1abb
hex3168e65625

212213323301 has 18 divisors (see below), whose sum is σ = 260536894470. Its totient is φ = 172323586512.

The previous prime is 212213323291. The next prime is 212213323319. The reversal of 212213323301 is 103323312212.

It can be written as a sum of positive squares in only one way, i.e., 141669432100 + 70543891201 = 376390^2 + 265601^2 .

It is not a de Polignac number, because 212213323301 - 226 = 212146214437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212213323331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5980766 + ... + 6016143.

It is an arithmetic number, because the mean of its divisors is an integer number (14474271915).

Almost surely, 2212213323301 is an apocalyptic number.

It is an amenable number.

212213323301 is a deficient number, since it is larger than the sum of its proper divisors (48323571169).

212213323301 is a wasteful number, since it uses less digits than its factorization.

212213323301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996961 (or 11996935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212213323301 its reverse (103323312212), we get a palindrome (315536635513).

The spelling of 212213323301 in words is "two hundred twelve billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred one".

Divisors: 1 7 19 49 133 361 931 2527 17689 11996909 83978363 227941271 587848541 1595588897 4330884149 11169122279 30316189043 212213323301