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102065010201 = 33711219132333
BaseRepresentation
bin101111100001110001…
…1000111011000011001
3100202110002022201201000
41133003203013120121
53133012120311301
6114515451215213
710242160162260
oct1370343073031
9322402281630
10102065010201
113a316045900
1217945447509
13981759937b
144d233dd5d7
1529c568e786
hex17c38c7619

102065010201 has 96 divisors (see below), whose sum is σ = 190127266560. Its totient is φ = 52970353920.

The previous prime is 102065010199. The next prime is 102065010209. The reversal of 102065010201 is 102010560201.

102065010201 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 650 + 10 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 102065010201 - 21 = 102065010199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102065010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43747231 + ... + 43749563.

It is an arithmetic number, because the mean of its divisors is an integer number (1980492360).

Almost surely, 2102065010201 is an apocalyptic number.

102065010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102065010201 is a deficient number, since it is larger than the sum of its proper divisors (88062256359).

102065010201 is a wasteful number, since it uses less digits than its factorization.

102065010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102065010201 its reverse (102010560201), we get a palindrome (204075570402).

The spelling of 102065010201 in words is "one hundred two billion, sixty-five million, ten thousand, two hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 693 847 1089 1913 2079 2333 2541 3267 5739 6999 7623 13391 16331 17217 20997 21043 22869 25663 40173 48993 51651 62991 63129 76989 120519 146979 147301 179641 189387 230967 231473 282293 361557 440937 441903 538923 568161 692901 694419 846879 1325709 1616769 1620311 1976051 2083257 2540637 3977127 4463029 4850307 4860933 5928153 6249771 7621911 13389087 14582799 17784459 31241203 40167261 43748397 49093319 53353377 93723609 120501783 147279957 281170827 343653233 441839871 540026509 843512481 1030959699 1325519613 1620079527 3092879097 3780185563 4860238581 9278637291 11340556689 14580715743 34021670067 102065010201