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2130202010331 = 35241238115277
BaseRepresentation
bin11110111111111001111…
…011110010001011011011
321112122102102220021200000
4132333321323302023123
5234400123203312311
64310333513544043
7306621251221563
oct36777173621333
97478372807600
102130202010331
117514605562aa
122a4a20415023
13125b53248235
1475160b01da3
153a628946056
hex1eff9ef22db

2130202010331 has 48 divisors (see below), whose sum is σ = 3205715761248. Its totient is φ = 1413555494400.

The previous prime is 2130202010327. The next prime is 2130202010351. The reversal of 2130202010331 is 1330102020312.

2130202010331 is a `hidden beast` number, since 2 + 1 + 302 + 0 + 20 + 10 + 331 = 666.

It is not a de Polignac number, because 2130202010331 - 22 = 2130202010327 is a prime.

It is a super-2 number, since 2×21302020103312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2130202010351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139430865 + ... + 139446141.

It is an arithmetic number, because the mean of its divisors is an integer number (66785745026).

Almost surely, 22130202010331 is an apocalyptic number.

2130202010331 is a deficient number, since it is larger than the sum of its proper divisors (1075513750917).

2130202010331 is a wasteful number, since it uses less digits than its factorization.

2130202010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2130202010331 its reverse (1330102020312), we get a palindrome (3460304030643).

The spelling of 2130202010331 in words is "two trillion, one hundred thirty billion, two hundred two million, ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 241 243 723 2169 2381 6507 7143 15277 19521 21429 45831 58563 64287 137493 192861 412479 573821 578583 1237437 1721463 3681757 3712311 5164389 11045271 15493167 33135813 36374537 46479501 99407439 109123611 139438503 298222317 327370833 894666951 982112499 2946337497 8766263417 8839012491 26298790251 78896370753 236689112259 710067336777 2130202010331