Search a number
-
+
103103131323000 = 2335369594938599
BaseRepresentation
bin10111011100010110010001…
…100001001000101001111000
3111112001120012111100211121110
4113130112101201020221320
5102003220203104314000
61003140531420240320
730500645465161404
oct2734262141105170
9445046174324543
10103103131323000
112a9408798142a6
12b6920b20a00a0
13456b778129813
141b6630a998104
15bdbe380d2850
hex5dc591848a78

103103131323000 has 128 divisors (see below), whose sum is σ = 321728060160000. Its totient is φ = 27490211907200.

The previous prime is 103103131322999. The next prime is 103103131323029. The reversal of 103103131323000 is 323131301301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18407701 + ... + 23346299.

It is an arithmetic number, because the mean of its divisors is an integer number (2513500470000).

Almost surely, 2103103131323000 is an apocalyptic number.

103103131323000 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 103103131323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864030080000).

103103131323000 is an abundant number, since it is smaller than the sum of its proper divisors (218624928837000).

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

103103131323000 is a wasteful number, since it uses less digits than its factorization.

103103131323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945582 (or 4945568 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103103131323000 its reverse (323131301301), we get a palindrome (103426262624301).

The spelling of 103103131323000 in words is "one hundred three trillion, one hundred three billion, one hundred thirty-one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6959 13918 20877 27836 34795 41754 55672 69590 83508 104385 139180 167016 173975 208770 278360 347950 417540 521925 695900 835080 869875 1043850 1391800 1739750 2087700 2609625 3479500 4175400 4938599 5219250 6959000 9877198 10438500 14815797 19754396 20877000 24692995 29631594 39508792 49385990 59263188 74078985 98771980 118526376 123464975 148157970 197543960 246929950 296315940 370394925 493859900 592631880 617324875 740789850 987719800 1234649750 1481579700 1851974625 2469299500 2963159400 3703949250 4938599000 7407898500 14815797000 34367710441 68735420882 103103131323 137470841764 171838552205 206206262646 274941683528 343677104410 412412525292 515515656615 687354208820 824825050584 859192761025 1031031313230 1374708417640 1718385522050 2062062626460 2577578283075 3436771044100 4124125252920 4295963805125 5155156566150 6873542088200 8591927610250 10310313132300 12887891415375 17183855220500 20620626264600 25775782830750 34367710441000 51551565661500 103103131323000