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105245203000 = 2353759254831
BaseRepresentation
bin110001000000100011…
…0100101101000111000
3101001122201102021002111
41202001012211220320
53211020232444000
6120203213542104
710414034315350
oct1420106455070
9331581367074
10105245203000
11406a819a813
12184924a4934
139c033c1462
14514590db60
152b0e978cba
hex18811a5a38

105245203000 has 128 divisors (see below), whose sum is σ = 286227302400. Its totient is φ = 35472336000.

The previous prime is 105245202893. The next prime is 105245203001. The reversal of 105245203000 is 302542501.

It is a super-2 number, since 2×1052452030002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245203001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285585 + ... + 540415.

It is an arithmetic number, because the mean of its divisors is an integer number (2236150800).

Almost surely, 2105245203000 is an apocalyptic number.

105245203000 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 105245203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113651200).

105245203000 is an abundant number, since it is smaller than the sum of its proper divisors (180982099400).

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

105245203000 is a wasteful number, since it uses less digits than its factorization.

105245203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254918 (or 254904 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 105245203000 its reverse (302542501), we get a palindrome (105547745501).

The spelling of 105245203000 in words is "one hundred five billion, two hundred forty-five million, two hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 280 295 350 413 472 500 590 700 826 875 1000 1180 1400 1475 1652 1750 2065 2360 2950 3304 3500 4130 5900 7000 7375 8260 10325 11800 14750 16520 20650 29500 41300 51625 59000 82600 103250 206500 254831 413000 509662 1019324 1274155 1783817 2038648 2548310 3567634 5096620 6370775 7135268 8919085 10193240 12741550 14270536 15035029 17838170 25483100 30070058 31853875 35676340 44595425 50966200 60140116 63707750 71352680 75175145 89190850 105245203 120280232 127415500 150350290 178381700 210490406 222977125 254831000 300700580 356763400 375875725 420980812 445954250 526226015 601401160 751751450 841961624 891908500 1052452030 1503502900 1783817000 1879378625 2104904060 2631130075 3007005800 3758757250 4209808120 5262260150 7517514500 10524520300 13155650375 15035029000 21049040600 26311300750 52622601500 105245203000