Search a number
-
+
212414994135 = 34517316171613
BaseRepresentation
bin1100010111010011101…
…0111001011011010111
3202022021120021201210000
43011310322321123113
511440011214303020
6241325422302343
721226561442121
oct3056472713327
9668246251700
10212414994135
11820a27aa033
12352014279b3
1317052445056
14a3d0c88211
1557d336b090
hex3174eb96d7

212414994135 has 160 divisors (see below), whose sum is σ = 417110487552. Its totient is φ = 102953410560.

The previous prime is 212414994131. The next prime is 212414994161. The reversal of 212414994135 is 531499414212.

212414994135 is a `hidden beast` number, since 2 + 1 + 24 + 1 + 499 + 4 + 135 = 666.

It is not a de Polignac number, because 212414994135 - 22 = 212414994131 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414994131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 131688589 + ... + 131690201.

Almost surely, 2212414994135 is an apocalyptic number.

212414994135 is a deficient number, since it is larger than the sum of its proper divisors (204695493417).

212414994135 is a wasteful number, since it uses less digits than its factorization.

212414994135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2286 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 212414994135 in words is "two hundred twelve billion, four hundred fourteen million, nine hundred ninety-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 31 45 51 81 85 93 135 153 155 255 279 405 459 465 527 617 765 837 1377 1395 1581 1613 1851 2295 2511 2635 3085 4185 4743 4839 5553 6885 7905 8065 9255 10489 12555 14229 14517 16659 19127 23715 24195 27421 27765 31467 42687 43551 49977 50003 52445 57381 71145 72585 82263 83295 94401 95635 130653 137105 150009 157335 172143 213435 217755 246789 249885 250015 283203 286905 325159 411315 450027 472005 516429 653265 740367 750045 849609 850051 860715 975477 995221 1233945 1350081 1416015 1549287 1625795 2221101 2250135 2550153 2582145 2926431 2985663 3701835 4050243 4248045 4250255 4877385 4976105 6750405 7650459 7746435 8779293 8956989 11105505 12750765 14632155 14928315 16918757 20251215 22951377 26337879 26870967 30851851 38252295 43896465 44784945 50756271 68854131 80612901 84593785 92555553 114756885 131689395 134354835 152268813 154259255 253781355 277666659 344270655 403064505 456806439 462777765 524481467 761344065 832999977 1370419317 1388333295 1573444401 2284032195 2498999931 2622407335 4164999885 4720333203 6852096585 7867222005 12494999655 14160999609 23601666015 42482998827 70804998045 212414994135