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212327327114253 = 3213232916971603291
BaseRepresentation
bin110000010001110001001110…
…111010001010010000001101
31000211210021221111102102112200
4300101301032322022100031
5210312232331220124003
62031325454423352113
762503100050024551
oct6021611672122015
91024707844372480
10212327327114253
116172157188089a
121b9925602b2639
1391624c5190350
143a609a9bb7861
1519831c37bb6a3
hexc11c4ee8a40d

212327327114253 has 96 divisors (see below), whose sum is σ = 356741961488640. Its totient is φ = 120601064263680.

The previous prime is 212327327114239. The next prime is 212327327114267. The reversal of 212327327114253 is 352411723723212.

212327327114253 is a `hidden beast` number, since 2 + 1 + 2 + 327 + 3 + 2 + 71 + 1 + 4 + 253 = 666.

It is an interprime number because it is at equal distance from previous prime (212327327114239) and next prime (212327327114267).

It is not a de Polignac number, because 212327327114253 - 244 = 194735141069837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212327327114199 and 212327327114208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212327327114233) 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, 131630538 + ... + 133233828.

It is an arithmetic number, because the mean of its divisors is an integer number (3716062098840).

Almost surely, 2212327327114253 is an apocalyptic number.

212327327114253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212327327114253 is a deficient number, since it is larger than the sum of its proper divisors (144414634374387).

212327327114253 is a wasteful number, since it uses less digits than its factorization.

212327327114253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605059 (or 1605056 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 212327327114253 in words is "two hundred twelve trillion, three hundred twenty-seven billion, three hundred twenty-seven million, one hundred fourteen thousand, two hundred fifty-three".

Divisors: 1 3 9 13 23 29 39 69 87 117 207 261 299 377 667 897 1131 1697 2001 2691 3393 5091 6003 8671 15273 22061 26013 39031 49213 66183 78039 117093 147639 198549 351279 442917 507403 639769 1131899 1522209 1603291 1919307 3395697 4566627 4809873 5757921 10187091 14429619 14714687 20842783 36875693 44144061 46495439 62528349 110627079 132432183 139486317 187585047 331881237 418458951 479384009 604440707 1069395097 1438152027 1813322121 2720784827 3208185291 4314456081 5439966363 8162354481 9624555873 13902136261 24487063443 35370202751 41706408783 62578051021 78902759983 106110608253 125119226349 187734153063 236708279949 318331824759 563202459189 710124839847 813514663273 1025735879779 1814763479609 2440543989819 3077207639337 5444290438827 7321631969457 9231622918011 16332871316481 23591925234917 70775775704751 212327327114253