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211410133440030 = 23257520964421509
BaseRepresentation
bin110000000100011011000001…
…111001111101011000011110
31000201112121111200201012022100
4300010123001321331120132
5210202220423130040110
62025344250300025530
762346610121313120
oct6004330171753036
91021477450635270
10211410133440030
11613a8596970088
121b864849b322a6
1390c6b7555cc15
143a2c43b0d9210
1519693e1aacbc0
hexc046c1e7d61e

211410133440030 has 96 divisors (see below), whose sum is σ = 628310717611200. Its totient is φ = 48313038767616.

The previous prime is 211410133440029. The next prime is 211410133440073. The reversal of 211410133440030 is 30044331014112.

211410133440030 is a `hidden beast` number, since 2 + 114 + 10 + 133 + 4 + 400 + 3 + 0 = 666.

It is a super-2 number, since 2×2114101334400302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211410133439976 and 211410133440003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28929085 + ... + 35492424.

It is an arithmetic number, because the mean of its divisors is an integer number (6544903308450).

Almost surely, 2211410133440030 is an apocalyptic number.

211410133440030 is an abundant number, since it is smaller than the sum of its proper divisors (416900584171170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211410133440030 is a wasteful number, since it uses less digits than its factorization.

211410133440030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64426738 (or 64426735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 211410133440030 its reverse (30044331014112), we get a palindrome (241454464454142).

The spelling of 211410133440030 in words is "two hundred eleven trillion, four hundred ten billion, one hundred thirty-three million, four hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5209 10418 15627 26045 31254 36463 46881 52090 72926 78135 93762 109389 156270 182315 218778 234405 328167 364630 468810 546945 656334 1093890 1640835 3281670 64421509 128843018 193264527 322107545 386529054 450950563 579793581 644215090 901901126 966322635 1159587162 1352851689 1932645270 2254752815 2705703378 2898967905 4058555067 4509505630 5797935810 6764258445 8117110134 13528516890 20292775335 40585550670 335571640381 671143280762 1006714921143 1677858201905 2013429842286 2349001482667 3020144763429 3355716403810 4698002965334 5033574605715 6040289526858 7047004448001 10067149211430 11745007413335 14094008896002 15100723817145 21141013344003 23490014826670 30201447634290 35235022240005 42282026688006 70470044480010 105705066720015 211410133440030