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1003980817000 = 23537413498191
BaseRepresentation
bin11101001110000011110…
…10111000001001101000
310112222110011000212210201
432213001322320021220
5112422123042121000
62045120013121544
7132351403065340
oct16470172701150
93488404025721
101003980817000
11357870aa76a7
121426b31892b4
13738a0c31965
1436843005d20
151b1b0e9c96a
hexe9c1eb8268

1003980817000 has 128 divisors (see below), whose sum is σ = 2750418478080. Its totient is φ = 335826240000.

The previous prime is 1003980816931. The next prime is 1003980817043. The reversal of 1003980817000 is 7180893001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1462096 + ... + 2036095.

It is an arithmetic number, because the mean of its divisors is an integer number (21487644360).

Almost surely, 21003980817000 is an apocalyptic number.

1003980817000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003980817000 is an abundant number, since it is smaller than the sum of its proper divisors (1746437661080).

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

1003980817000 is a wasteful number, since it uses less digits than its factorization.

1003980817000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498260 (or 3498246 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 1003980817000 in words is "one trillion, three billion, nine hundred eighty million, eight hundred seventeen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 125 140 164 175 200 205 250 280 287 328 350 410 500 574 700 820 875 1000 1025 1148 1400 1435 1640 1750 2050 2296 2870 3500 4100 5125 5740 7000 7175 8200 10250 11480 14350 20500 28700 35875 41000 57400 71750 143500 287000 3498191 6996382 13992764 17490955 24487337 27985528 34981910 48974674 69963820 87454775 97949348 122436685 139927640 143425831 174909550 195898696 244873370 286851662 349819100 437273875 489746740 573703324 612183425 699638200 717129155 874547750 979493480 1003980817 1147406648 1224366850 1434258310 1749095500 2007961634 2448733700 2868516620 3060917125 3498191000 3585645775 4015923268 4897467400 5019904085 5737033240 6121834250 7171291550 8031846536 10039808170 12243668500 14342583100 17928228875 20079616340 24487337000 25099520425 28685166200 35856457750 40159232680 50199040850 71712915500 100398081700 125497602125 143425831000 200796163400 250995204250 501990408500 1003980817000