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103086831000 = 2335389386093
BaseRepresentation
bin110000000000001110…
…1000011010110011000
3100212002022001121022210
41200000131003112120
53142110212043000
6115205112315120
710306405414536
oct1400035032630
9325068047283
10103086831000
113a79a9129aa
1217b8b6a2aa0
13994b1a666a
144dbcdcb156
152a35231350
hex1800743598

103086831000 has 128 divisors (see below), whose sum is σ = 325245585600. Its totient is φ = 27180876800.

The previous prime is 103086830981. The next prime is 103086831007. The reversal of 103086831000 is 138680301.

It is a super-2 number, since 2×1030868310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103086831007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73954 + ... + 460046.

Almost surely, 2103086831000 is an apocalyptic number.

103086831000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103086831000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162622792800).

103086831000 is an abundant number, since it is smaller than the sum of its proper divisors (222158754600).

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

103086831000 is a wasteful number, since it uses less digits than its factorization.

103086831000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386206 (or 386192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 103086831000 in words is "one hundred three billion, eighty-six million, eight hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4450 5340 6675 8900 10680 11125 13350 17800 22250 26700 33375 44500 53400 66750 89000 133500 267000 386093 772186 1158279 1544372 1930465 2316558 3088744 3860930 4633116 5791395 7721860 9266232 9652325 11582790 15443720 19304650 23165580 28956975 34362277 38609300 46331160 48261625 57913950 68724554 77218600 96523250 103086831 115827900 137449108 144784875 171811385 193046500 206173662 231655800 274898216 289569750 343622770 386093000 412347324 515434155 579139500 687245540 824694648 859056925 1030868310 1158279000 1374491080 1718113850 2061736620 2577170775 3436227700 4123473240 4295284625 5154341550 6872455400 8590569250 10308683100 12885853875 17181138500 20617366200 25771707750 34362277000 51543415500 103086831000