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1000200132315 = 335291734793083
BaseRepresentation
bin11101000111000001001…
…00101101011011011011
310112121200200000012102000
432203200210231123123
5112341402213213230
62043252520012043
7132155614564116
oct16434044553333
93477620005360
101000200132315
113562009992aa
12141a19001023
137341a89b127
14365a4c6157d
151b03e0e9b60
hexe8e092d6db

1000200132315 has 128 divisors (see below), whose sum is σ = 1854544896000. Its totient is φ = 510833659392.

The previous prime is 1000200132293. The next prime is 1000200132359. The reversal of 1000200132315 is 5132310020001.

It is not a de Polignac number, because 1000200132315 - 26 = 1000200132251 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324422764 + ... + 324425846.

It is an arithmetic number, because the mean of its divisors is an integer number (14488632000).

Almost surely, 21000200132315 is an apocalyptic number.

1000200132315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1000200132315 is a deficient number, since it is larger than the sum of its proper divisors (854344763685).

1000200132315 is a wasteful number, since it uses less digits than its factorization.

1000200132315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 1000200132315 its reverse (5132310020001), we get a palindrome (6132510152316).

The spelling of 1000200132315 in words is "one trillion, two hundred million, one hundred thirty-two thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 173 261 435 479 519 783 865 1305 1437 1557 2395 2595 3083 3915 4311 4671 5017 7185 7785 9249 12933 13891 15051 15415 21555 23355 25085 27747 41673 45153 46245 64665 69455 75255 82867 83241 89407 125019 135459 138735 208365 225765 248601 268221 375057 414335 416205 447035 533359 625095 677295 745803 804663 1243005 1341105 1476757 1600077 1875285 2237409 2403143 2413989 2666795 3729015 4023315 4430271 4800231 7209429 7383785 8000385 11187045 12015715 12069945 13290813 14400693 15467411 21628287 22151355 24001155 36047145 39872439 42825953 46402233 64884861 66454065 72003465 77337055 108141435 128477859 139206699 199362195 214129765 232011165 255478961 324424305 385433577 417620097 642389295 696033495 766436883 1156300731 1277394805 1927167885 2088100485 2299310649 3832184415 5781503655 6897931947 7408889869 11496553245 22226669607 34489659735 37044449345 66680008821 111133348035 200040026463 333400044105 1000200132315