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103040421404100 = 2235219142312703631
BaseRepresentation
bin10111011011011011110111…
…101101110001110111000100
3111111211120100010120212222120
4113123123313231301313010
5102001203240334412400
61003052041025125540
730463265461516455
oct2733336755616704
9444746303525876
10103040421404100
112a917219696044
12b681b107898b0
13456589312222b
141b6327c24d12c
15bda4b79daca0
hex5db6f7b71dc4

103040421404100 has 144 divisors (see below), whose sum is σ = 314041913364480. Its totient is φ = 26012969078400.

The previous prime is 103040421404099. The next prime is 103040421404149. The reversal of 103040421404100 is 1404124040301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759285 + ... + 14462915.

Almost surely, 2103040421404100 is an apocalyptic number.

103040421404100 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 103040421404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157020956682240).

103040421404100 is an abundant number, since it is smaller than the sum of its proper divisors (211001491960380).

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

103040421404100 is a wasteful number, since it uses less digits than its factorization.

103040421404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705090 (or 12705083 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 103040421404100 its reverse (1404124040301), we get a palindrome (104444545444401).

The spelling of 103040421404100 in words is "one hundred three trillion, forty billion, four hundred twenty-one million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1423 1425 1900 2846 2850 4269 5692 5700 7115 8538 14230 17076 21345 27037 28460 35575 42690 54074 71150 81111 85380 106725 108148 135185 142300 162222 213450 270370 324444 405555 426900 540740 675925 811110 1351850 1622220 2027775 2703700 4055550 8111100 12703631 25407262 38110893 50814524 63518155 76221786 127036310 152443572 190554465 241368989 254072620 317590775 381108930 482737978 635181550 724106967 762217860 952772325 965475956 1206844945 1270363100 1448213934 1905544650 2413689890 2896427868 3620534835 3811089300 4827379780 6034224725 7241069670 12068449450 14482139340 18077266913 18102674175 24136898900 36154533826 36205348350 54231800739 72309067652 72410696700 90386334565 108463601478 180772669130 216927202956 271159003695 343468071347 361545338260 451931672825 542318007390 686936142694 903863345650 1030404214041 1084636014780 1355795018475 1373872285388 1717340356735 1807726691300 2060808428082 2711590036950 3434680713470 4121616856164 5152021070205 5423180073900 6869361426940 8586701783675 10304042140410 17173403567350 20608084280820 25760105351025 34346807134700 51520210702050 103040421404100