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212202222320313 = 34263317193116273
BaseRepresentation
bin110000001111111100101110…
…000101001111101010111001
31000211100100000201200102020000
4300033330232011033222321
5210303210122403222223
62031152204413423213
762461050613565151
oct6017745605175271
91024310021612200
10212202222320313
1161683503443505
121b972266a9ab09
139153778515864
143a588dc8d1761
15197ed005ae543
hexc0ff2e14fab9

212202222320313 has 80 divisors (see below), whose sum is σ = 319387452886656. Its totient is φ = 140404290209280.

The previous prime is 212202222320299. The next prime is 212202222320327. The reversal of 212202222320313 is 313023222202212.

212202222320313 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 2 + 2 + 22 + 320 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (212202222320299) and next prime (212202222320327).

It is not a de Polignac number, because 212202222320313 - 229 = 212201685449401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212202222320393) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13040133345 + ... + 13040149617.

Almost surely, 2212202222320313 is an apocalyptic number.

It is an amenable number.

212202222320313 is a deficient number, since it is larger than the sum of its proper divisors (107185230566343).

212202222320313 is a wasteful number, since it uses less digits than its factorization.

212202222320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18796 (or 18787 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212202222320313 its reverse (313023222202212), we get a palindrome (525225444522525).

The spelling of 212202222320313 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty-two million, three hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 263 317 789 951 1931 2367 2853 5793 7101 8559 16273 17379 21303 25677 48819 52137 83371 146457 156411 250113 439371 507853 612127 750339 1318113 1523559 1836381 2251017 4279799 4570677 5158541 5509143 6753051 12839397 13712031 15475623 16527429 31423163 38518191 41136093 46426869 49582287 94269489 115554573 139280607 160989401 282808467 346663719 417841821 482968203 848425401 1356696283 1448904609 2545276203 4070088849 4346713827 8264291869 9961142671 12210266547 13040141481 24792875607 29883428013 36630799641 74378626821 89650284039 109892398923 223135880463 268950852117 669407641389 806852556351 2619780522473 7859341567419 23578024702257 70734074106771 212202222320313