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2051120240000 = 2754131972231
BaseRepresentation
bin11101110110010000010…
…010110001010110000000
321021002022002121002222022
4131312100102301112000
5232101143240140000
64210134401101012
7301121446242446
oct35662022612600
97232262532868
102051120240000
117209699a2817
12291630027768
1311b55c4204b0
14713bbcaab96
153854ada5585
hex1dd904b1580

2051120240000 has 160 divisors (see below), whose sum is σ = 5498918095440. Its totient is φ = 757336320000.

The previous prime is 2051120239997. The next prime is 2051120240003. The reversal of 2051120240000 is 420211502.

It is an interprime number because it is at equal distance from previous prime (2051120239997) and next prime (2051120240003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051120240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53885 + ... + 2026115.

Almost surely, 22051120240000 is an apocalyptic number.

2051120240000 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 2051120240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749459047720).

2051120240000 is an abundant number, since it is smaller than the sum of its proper divisors (3447797855440).

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

2051120240000 is an equidigital number, since it uses as much as digits as its factorization.

2051120240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972278 (or 1972251 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 2051120240000 its reverse (420211502), we get a palindrome (2051540451502).

The spelling of 2051120240000 in words is "two trillion, fifty-one billion, one hundred twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 1972231 3944462 7888924 9861155 15777848 19722310 25639003 31555696 39444620 49305775 51278006 63111392 78889240 98611550 102556012 126222784 128195015 157778480 197223100 205112024 246528875 252445568 256390030 315556960 394446200 410224048 493057750 512780060 631113920 640975075 788892400 820448096 986115500 1025560120 1232644375 1262227840 1281950150 1577784800 1640896192 1972231000 2051120240 2465288750 2563900300 3155569600 3204875375 3281792384 3944462000 4102240480 4930577500 5127800600 6311139200 6409750750 7888924000 8204480960 9861155000 10255601200 12819501500 15777848000 16024376875 16408961920 19722310000 20511202400 25639003000 31555696000 32048753750 39444620000 41022404800 51278006000 64097507500 78889240000 82044809600 102556012000 128195015000 157778480000 205112024000 256390030000 410224048000 512780060000 1025560120000 2051120240000