Search a number
-
+
212200321311 = 3211291071315273
BaseRepresentation
bin1100010110100000011…
…1111111000100011111
3202021201121100020000200
43011220013333010133
511434041240240221
6241252233154543
721221343653616
oct3055007770437
9667647306020
10212200321311
1181aa2605180
123516155ba53
1317019b21304
14a3b056687d
1557be5b4426
hex31681ff11f

212200321311 has 96 divisors (see below), whose sum is σ = 351871153920. Its totient is φ = 122048908800.

The previous prime is 212200321309. The next prime is 212200321337. The reversal of 212200321311 is 113123002212.

212200321311 is a `hidden beast` number, since 2 + 12 + 20 + 0 + 321 + 311 = 666.

It is not a de Polignac number, because 212200321311 - 21 = 212200321309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200321211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40240171 + ... + 40245443.

It is an arithmetic number, because the mean of its divisors is an integer number (3665324520).

Almost surely, 2212200321311 is an apocalyptic number.

212200321311 is a deficient number, since it is larger than the sum of its proper divisors (139670832609).

212200321311 is a wasteful number, since it uses less digits than its factorization.

212200321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212200321311 its reverse (113123002212), we get a palindrome (325323323523).

The spelling of 212200321311 in words is "two hundred twelve billion, two hundred million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 29 33 87 99 107 131 261 319 321 393 957 963 1177 1179 1441 2871 3103 3531 3799 4323 5273 9309 10593 11397 12969 14017 15819 27927 34133 34191 41789 42051 47457 58003 102399 125367 126153 152917 154187 174009 307197 376101 406493 458751 462561 522027 564211 690763 1219479 1376253 1387683 1682087 1692633 2072289 3658437 4471423 5046261 5077899 6206321 6216867 7598393 13414269 15138783 16362119 18618963 20032127 22795179 40242807 49086357 55856889 60096381 68385537 73911641 147259071 179983309 180289143 220353397 221734923 539949927 661060191 665204769 813028051 1619849781 1983180573 2143437589 2439084153 6430312767 7317252459 19290938301 23577813479 70733440437 212200321311