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1000201114330 = 25114110113915797
BaseRepresentation
bin11101000111000001010…
…00011101001011011010
310112121200201212002110221
432203200220131023122
5112341402441124310
62043252553030254
7132155626124125
oct16434050351332
93477621762427
101000201114330
113562014aa090
12141a193b538a
137341ab530c2
14365a50393bc
151b03e240ada
hexe8e0a1d2da

1000201114330 has 128 divisors (see below), whose sum is σ = 2046601831680. Its totient is φ = 348775680000.

The previous prime is 1000201114327. The next prime is 1000201114337. The reversal of 1000201114330 is 334111020001.

It is not an unprimeable number, because it can be changed into a prime (1000201114337) 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 63 ways as a sum of consecutive naturals, for example, 63307992 + ... + 63323788.

It is an arithmetic number, because the mean of its divisors is an integer number (15989076810).

Almost surely, 21000201114330 is an apocalyptic number.

1000201114330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000201114330 is an abundant number, since it is smaller than the sum of its proper divisors (1046400717350).

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

1000201114330 is a wasteful number, since it uses less digits than its factorization.

1000201114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16096.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000201114330 its reverse (334111020001), we get a palindrome (1334312134331).

The spelling of 1000201114330 in words is "one trillion, two hundred one million, one hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 41 55 82 101 110 139 202 205 278 410 451 505 695 902 1010 1111 1390 1529 2222 2255 3058 4141 4510 5555 5699 7645 8282 11110 11398 14039 15290 15797 20705 28078 28495 31594 41410 45551 56990 62689 70195 78985 91102 125378 140390 154429 157970 173767 227755 308858 313445 347534 455510 575599 626890 647677 772145 868835 1151198 1295354 1544290 1595497 1737670 2195783 2877995 3190994 3238385 4391566 5755990 6331589 6476770 7124447 7977485 10978915 12663178 14248894 15954970 17550467 21957830 24153613 31657945 35100934 35622235 48307226 63315890 65415377 71244470 87752335 90027103 120768065 130830754 175504670 180054206 221774083 241536130 327076885 443548166 450135515 654153770 719569147 900271030 990298133 1108870415 1439138294 1980596266 2217740830 2439514913 3597845735 4879029826 4951490665 7195691470 9092737403 9902981330 12197574565 18185474806 24395149130 45463687015 90927374030 100020111433 200040222866 500100557165 1000201114330