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212321303022213 = 3271112792393100103
BaseRepresentation
bin110000010001101011100111…
…110110000100101010000101
31000211202201101200000211210200
4300101223213312010222011
5210312133012033202323
62031323020550241113
762502464551055160
oct6021534766045205
91024681350024720
10212321303022213
1161719a60395330
121b99135a956199
139161a7510a748
143a60597ad6ad7
151982e6e9c5443
hexc11ae7d84a85

212321303022213 has 96 divisors (see below), whose sum is σ = 382824860221440. Its totient is φ = 110163388158720.

The previous prime is 212321303022167. The next prime is 212321303022217. The reversal of 212321303022213 is 312220303123212.

212321303022213 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 130 + 302 + 221 + 3 = 666.

It is not a de Polignac number, because 212321303022213 - 220 = 212321301973637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212321303022217) 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, 2120978320 + ... + 2121078422.

It is an arithmetic number, because the mean of its divisors is an integer number (3987758960640).

Almost surely, 2212321303022213 is an apocalyptic number.

It is an amenable number.

212321303022213 is a deficient number, since it is larger than the sum of its proper divisors (170503557199227).

212321303022213 is a wasteful number, since it uses less digits than its factorization.

212321303022213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103799 (or 103796 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212321303022213 its reverse (312220303123212), we get a palindrome (524541606145425).

The spelling of 212321303022213 in words is "two hundred twelve trillion, three hundred twenty-one billion, three hundred three million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1279 2393 3837 7179 8953 11511 14069 16751 21537 26323 26859 42207 50253 78969 80577 98483 100103 126621 150759 184261 236907 295449 300309 552783 700721 886347 900927 1101133 1658349 2102163 3060647 3303399 6306489 7707931 9181941 9910197 21424529 23123793 27545823 33667117 64273587 69371379 101001351 128031737 192820761 235669819 239546479 303004053 384095211 707009457 718639437 896222159 1152285633 1408349107 1676825353 2121028371 2155918311 2635011269 2688666477 4225047321 5030476059 7905033807 8065999431 9858443749 12675141963 15091428177 18445078883 23715101421 29575331247 55335236649 88725993741 166005709947 306379946641 919139839923 2144659626487 2757419519769 3370179413051 6433978879461 10110538239153 19301936638383 23591255891357 30331614717459 70773767674071 212321303022213