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2103011314000 = 24531965384751
BaseRepresentation
bin11110100110100101001…
…111100000100101010000
321110001020110210210102221
4132212211033200211100
5233423431344022000
64250035434550424
7304636403140462
oct36464517404520
97401213723387
102103011314000
11740978074743
1229b6b2298414
1312340bbb9ccc
1473b01820132
1539a8679361a
hex1e9a53e0950

2103011314000 has 160 divisors (see below), whose sum is σ = 5360977589760. Its totient is φ = 795700800000.

The previous prime is 2103011313973. The next prime is 2103011314031. The reversal of 2103011314000 is 4131103012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24771625 + ... + 24856375.

It is an arithmetic number, because the mean of its divisors is an integer number (33506109936).

Almost surely, 22103011314000 is an apocalyptic number.

2103011314000 is a gapful number since it is divisible by the number (20) 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 2103011314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680488794880).

2103011314000 is an abundant number, since it is smaller than the sum of its proper divisors (3257966275760).

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

2103011314000 is a wasteful number, since it uses less digits than its factorization.

2103011314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85446 (or 85430 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2103011314000 its reverse (4131103012), we get a palindrome (2107142417012).

The spelling of 2103011314000 in words is "two trillion, one hundred three billion, eleven million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 653 760 950 1000 1306 1520 1900 2000 2375 2612 3265 3800 4750 5224 6530 7600 9500 10448 12407 13060 16325 19000 24814 26120 32650 38000 49628 52240 62035 65300 81625 84751 99256 124070 130600 163250 169502 198512 248140 261200 310175 326500 339004 423755 496280 620350 653000 678008 847510 992560 1240700 1306000 1356016 1550875 1610269 1695020 2118775 2481400 3101750 3220538 3390040 4237550 4962800 6203500 6441076 6780080 8051345 8475100 10593875 12407000 12882152 16102690 16950200 21187750 24814000 25764304 32205380 33900400 40256725 42375500 55342403 64410760 80513450 84751000 110684806 128821520 161026900 169502000 201283625 221369612 276712015 322053800 402567250 442739224 553424030 644107600 805134500 885478448 1051505657 1106848060 1383560075 1610269000 2103011314 2213696120 2767120150 3220538000 4206022628 4427392240 5257528285 5534240300 6917800375 8412045256 10515056570 11068480600 13835600750 16824090512 21030113140 22136961200 26287641425 27671201500 42060226280 52575282850 55342403000 84120452560 105150565700 110684806000 131438207125 210301131400 262876414250 420602262800 525752828500 1051505657000 2103011314000