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212331120013233 = 321329891869137619
BaseRepresentation
bin110000010001110100110000…
…111110111010111110110001
31000211210122201211102122210200
4300101310300332322332301
5210312313113210410413
62031331323034345413
762503263044110224
oct6021646076727661
91024718654378720
10212331120013233
1161723138871a51
121b99323a58b269
13916297ac0c580
143a60c4981b5bb
151983346783573
hexc11d30fbafb1

212331120013233 has 96 divisors (see below), whose sum is σ = 345549059856000. Its totient is φ = 124732091151360.

The previous prime is 212331120013141. The next prime is 212331120013267. The reversal of 212331120013233 is 332310021133212.

212331120013233 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 311 + 20 + 0 + 1 + 323 + 3 = 666.

It is not a de Polignac number, because 212331120013233 - 29 = 212331120012721 is a prime.

It is a super-2 number, since 2×2123311200132332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212331120013197 and 212331120013206.

It is not an unprimeable number, because it can be changed into a prime (212331120013933) 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, 5644233298 + ... + 5644270916.

It is an arithmetic number, because the mean of its divisors is an integer number (3599469373500).

Almost surely, 2212331120013233 is an apocalyptic number.

It is an amenable number.

212331120013233 is a deficient number, since it is larger than the sum of its proper divisors (133217939842767).

212331120013233 is a wasteful number, since it uses less digits than its factorization.

212331120013233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56447 (or 56444 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212331120013233 its reverse (332310021133212), we get a palindrome (544641141146445).

The spelling of 212331120013233 in words is "two hundred twelve trillion, three hundred thirty-one billion, one hundred twenty million, thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 13 29 39 87 89 117 261 267 377 801 1131 1157 2581 3393 3471 7743 10413 18691 23229 33553 37619 56073 100659 112857 168219 242983 301977 338571 489047 542039 728949 1090951 1467141 1626117 1663499 2186847 3272853 3348091 4401423 4878351 4990497 7046507 9818559 10044273 14182363 14971491 21139521 21625487 30132819 42547089 43525183 48241471 63418563 64876461 97094639 127641267 130575549 144724413 194629383 291283917 391726647 434173239 627139123 703136729 873851751 1262230307 1881417369 2109410187 3786690921 5644252107 6328230561 9140777477 11360072763 20390965141 27422332431 61172895423 62579168881 82266997293 183518686269 187737506643 265082546833 563212519929 795247640499 813529195453 1814795897549 2385742921497 2440587586359 5444387692647 7321762759077 16333163077941 23592346668137 70777040004411 212331120013233