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212003232232113 = 327251503183114557
BaseRepresentation
bin110000001101000011011001…
…010110010011001010110001
31000210122022101202201120021100
4300031003121112103022301
5210241430104422411423
62030520535041315013
762440504505003340
oct6015033126231261
91023568352646240
10212003232232113
116160707a755a63
121b93b791635a69
13913aa854c423a
143a4d0229bbb57
151979a55b28343
hexc0d0d95932b1

212003232232113 has 96 divisors (see below), whose sum is σ = 352282930900992. Its totient is φ = 120348134640000.

The previous prime is 212003232232111. The next prime is 212003232232123. The reversal of 212003232232113 is 311232232300212.

212003232232113 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 3 + 2 + 322 + 321 + 13 = 666.

It is not a de Polignac number, because 212003232232113 - 21 = 212003232232111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212003232232111) 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, 14563655031 + ... + 14563669587.

It is an arithmetic number, because the mean of its divisors is an integer number (3669613863552).

Almost surely, 2212003232232113 is an apocalyptic number.

It is an amenable number.

212003232232113 is a deficient number, since it is larger than the sum of its proper divisors (140279698668879).

212003232232113 is a wasteful number, since it uses less digits than its factorization.

212003232232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17155 (or 17152 counting only the distinct ones).

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

Adding to 212003232232113 its reverse (311232232300212), we get a palindrome (523235464532325).

The spelling of 212003232232113 in words is "two hundred twelve trillion, three billion, two hundred thirty-two million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 251 503 753 1509 1757 1831 2259 3521 4527 5271 5493 10563 12817 14557 15813 16479 31689 38451 43671 101899 115353 126253 131013 305697 378759 459581 883771 917091 920993 1136277 1378743 2651313 2762979 3217067 3653807 4136229 6446951 7322171 7953939 8288937 9651201 10961421 19340853 21966513 25576649 26653867 28953603 32884263 51255197 58022559 65899539 76729947 79961601 153765591 186577069 230189841 231169243 239884803 461296773 559731207 693507729 1618184701 1679193621 1837864921 2080523187 4854554103 5513594763 6690120617 12865054447 13406895101 14563662309 16540784289 20070361851 38595163341 40220685303 46830844319 60211085553 93848265707 115785490023 120662055909 140492532957 281544797121 421477598871 844634391363 3365130670351 10095392011053 23555914692457 30286176033159 70667744077371 212003232232113