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2103130440 = 233357512593
BaseRepresentation
bin111110101011011…
…0011100101001000
312102120102002121000
41331112303211020
513301400133230
6544405215000
7103055212425
oct17526634510
95376362530
102103130440
1198a187034
124a8401460
132769459a8
1415d462d4c
15c4984b60
hex7d5b3948

2103130440 has 128 divisors (see below), whose sum is σ = 7022476800. Its totient is φ = 559872000.

The previous prime is 2103130439. The next prime is 2103130481. The reversal of 2103130440 is 440313012.

2103130440 is a `hidden beast` number, since 210 + 3 + 13 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 809784 + ... + 812376.

It is an arithmetic number, because the mean of its divisors is an integer number (54863100).

Almost surely, 22103130440 is an apocalyptic number.

2103130440 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 2103130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511238400).

2103130440 is an abundant number, since it is smaller than the sum of its proper divisors (4919346360).

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

2103130440 is a wasteful number, since it uses less digits than its factorization.

2103130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2103130440 is about 45859.9001307242. The cubic root of 2103130440 is about 1281.2151627569.

Adding to 2103130440 its reverse (440313012), we get a palindrome (2543443452).

The spelling of 2103130440 in words is "two billion, one hundred three million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 751 1080 1502 2253 2593 3004 3755 4506 5186 6008 6759 7510 7779 9012 10372 11265 12965 13518 15020 15558 18024 20277 20744 22530 23337 25930 27036 30040 31116 33795 38895 40554 45060 46674 51860 54072 62232 67590 70011 77790 81108 90120 93348 101385 103720 116685 135180 140022 155580 162216 186696 202770 233370 270360 280044 311160 350055 405540 466740 560088 700110 811080 933480 1400220 1947343 2800440 3894686 5842029 7789372 9736715 11684058 15578744 17526087 19473430 23368116 29210145 35052174 38946860 46736232 52578261 58420290 70104348 77893720 87630435 105156522 116840580 140208696 175260870 210313044 233681160 262891305 350521740 420626088 525782610 701043480 1051565220 2103130440