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10103031023000 = 235397193539663
BaseRepresentation
bin1001001100000100101110…
…0100110100010110011000
31022202211200121021111222012
42103001023210310112120
52311012001420214000
633253133545245052
72061630345524456
oct223011344642630
938684617244865
1010103031023000
113245742699603
121172050793788
135839338c1ca6
1426cdbc94d9d6
15127c0a2ed735
hex9304b934598

10103031023000 has 128 divisors (see below), whose sum is σ = 24008615205120. Its totient is φ = 3978819993600.

The previous prime is 10103031022999. The next prime is 10103031023003. The reversal of 10103031023000 is 32013030101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103031023003) 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, 18451169 + ... + 18990831.

It is an arithmetic number, because the mean of its divisors is an integer number (187567306290).

Almost surely, 210103031023000 is an apocalyptic number.

10103031023000 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 10103031023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004307602560).

10103031023000 is an abundant number, since it is smaller than the sum of its proper divisors (13905584182120).

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

10103031023000 is a wasteful number, since it uses less digits than its factorization.

10103031023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539974 (or 539960 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10103031023000 its reverse (32013030101), we get a palindrome (10135044053101).

The spelling of 10103031023000 in words is "ten trillion, one hundred three billion, thirty-one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 193 194 200 250 386 388 485 500 772 776 965 970 1000 1544 1930 1940 2425 3860 3880 4825 4850 7720 9650 9700 12125 18721 19300 19400 24125 24250 37442 38600 48250 48500 74884 93605 96500 97000 149768 187210 193000 374420 468025 539663 748840 936050 1079326 1872100 2158652 2340125 2698315 3744200 4317304 4680250 5396630 9360500 10793260 13491575 18721000 21586520 26983150 52347311 53966300 67457875 104154959 104694622 107932600 134915750 208309918 209389244 261736555 269831500 416619836 418778488 520774795 523473110 539663000 833239672 1041549590 1046946220 1308682775 2083099180 2093892440 2603873975 2617365550 4166198360 5207747950 5234731100 6543413875 10103031023 10415495900 10469462200 13019369875 13086827750 20206062046 20830991800 26038739750 26173655500 40412124092 50515155115 52077479500 52347311000 80824248184 101030310230 104154959000 202060620460 252575775575 404121240920 505151551150 1010303102300 1262878877875 2020606204600 2525757755750 5051515511500 10103031023000