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2141200312515 = 3251129433468851
BaseRepresentation
bin11111001010001001011…
…110111110100011000011
321120200210221010220221100
4133022021132332203003
5240040134240000030
64315353121425443
7310460640233535
oct37121136764303
97520727126840
102141200312515
11756094834540
122a6b8b79b283
13126bb69c9b54
14758c568d855
153aa6e29c360
hex1f2897be8c3

2141200312515 has 96 divisors (see below), whose sum is σ = 4285836023040. Its totient is φ = 979048224000.

The previous prime is 2141200312499. The next prime is 2141200312553. The reversal of 2141200312515 is 5152130021412.

It is a happy number.

2141200312515 is a `hidden beast` number, since 2 + 14 + 120 + 0 + 3 + 12 + 515 = 666.

It is not a de Polignac number, because 2141200312515 - 24 = 2141200312499 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 1117161 + ... + 2351690.

It is an arithmetic number, because the mean of its divisors is an integer number (44644125240).

Almost surely, 22141200312515 is an apocalyptic number.

2141200312515 is an abundant number, since it is smaller than the sum of its proper divisors (2144635710525).

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

2141200312515 is a wasteful number, since it uses less digits than its factorization.

2141200312515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468945 (or 3468942 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 2141200312515 its reverse (5152130021412), we get a palindrome (7293330333927).

The spelling of 2141200312515 in words is "two trillion, one hundred forty-one billion, two hundred million, three hundred twelve thousand, five hundred fifteen".

Divisors: 1 3 5 9 11 15 29 33 43 45 55 87 99 129 145 165 215 261 319 387 435 473 495 645 957 1247 1305 1419 1595 1935 2365 2871 3741 4257 4785 6235 7095 11223 13717 14355 18705 21285 41151 56115 68585 123453 205755 617265 3468851 10406553 17344255 31219659 38157361 52032765 100596679 114472083 149160593 156098295 190786805 301790037 343416249 447481779 502983395 572360415 745802965 905370111 1106563469 1342445337 1508950185 1640766523 1717081245 2237408895 3319690407 4325657197 4526850555 4922299569 5532817345 6712226685 8203832615 9959071221 12976971591 14766898707 16598452035 21628285985 24611497845 38930914773 47582229167 49795356105 64884857955 73834493535 142746687501 194654573865 237911145835 428240062503 713733437505 2141200312515