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103250144000 = 285315492083
BaseRepresentation
bin110000000101000110…
…0000010101100000000
3100212111200100202122102
41200022030002230000
53142424014102000
6115233224525532
710313430512663
oct1401214025400
9325450322572
10103250144000
113a874018423
12180163208a8
139975c87083
144dd697d6da
152a447403d5
hex180a302b00

103250144000 has 144 divisors (see below), whose sum is σ = 257498623200. Its totient is φ = 41253580800.

The previous prime is 103250143999. The next prime is 103250144003. The reversal of 103250144000 is 441052301.

103250144000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103250144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49566959 + ... + 49569041.

Almost surely, 2103250144000 is an apocalyptic number.

103250144000 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 103250144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128749311600).

103250144000 is an abundant number, since it is smaller than the sum of its proper divisors (154248479200).

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

103250144000 is an equidigital number, since it uses as much as digits as its factorization.

103250144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 103250144000 its reverse (441052301), we get a palindrome (103691196301).

The spelling of 103250144000 in words is "one hundred three billion, two hundred fifty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1549 1600 2000 2083 3098 3200 4000 4166 6196 6400 7745 8000 8332 10415 12392 15490 16000 16664 20830 24784 30980 32000 33328 38725 41660 49568 52075 61960 66656 77450 83320 99136 104150 123920 133312 154900 166640 193625 198272 208300 247840 260375 266624 309800 333280 387250 396544 416600 495680 520750 533248 619600 666560 774500 833200 991360 1041500 1239200 1333120 1549000 1666400 1982720 2083000 2478400 2666240 3098000 3226567 3332800 4166000 4956800 6196000 6453134 6665600 8332000 9913600 12392000 12906268 13331200 16132835 16664000 24784000 25812536 32265670 33328000 49568000 51625072 64531340 66656000 80664175 103250144 129062680 161328350 206500288 258125360 322656700 403320875 413000576 516250720 645313400 806641750 826001152 1032501440 1290626800 1613283500 2065002880 2581253600 3226567000 4130005760 5162507200 6453134000 10325014400 12906268000 20650028800 25812536000 51625072000 103250144000