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2103322440 = 2335293131931
BaseRepresentation
bin111110101011110…
…0010011101001000
312102120202211222010
41331113202131020
513301422304230
6544413255520
7103056642252
oct17527423510
95376684863
102103322440
1198a2a830a
124a84945a0
132769b21bb
1415d4b2cd2
15c49c19b0
hex7d5e2748

2103322440 has 128 divisors (see below), whose sum is σ = 6551798400. Its totient is φ = 539535360.

The previous prime is 2103322367. The next prime is 2103322519. The reversal of 2103322440 is 442233012.

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, 1088275 + ... + 1090205.

It is an arithmetic number, because the mean of its divisors is an integer number (51185925).

Almost surely, 22103322440 is an apocalyptic number.

2103322440 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 2103322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275899200).

2103322440 is an abundant number, since it is smaller than the sum of its proper divisors (4448475960).

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

2103322440 is a wasteful number, since it uses less digits than its factorization.

2103322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2103322440 is about 45861.9934150272. The cubic root of 2103322440 is about 1281.2541500084.

Adding to 2103322440 its reverse (442233012), we get a palindrome (2545555452).

The spelling of 2103322440 in words is "two billion, one hundred three million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 313 348 435 580 626 696 870 939 1160 1252 1565 1740 1878 1931 2504 3130 3480 3756 3862 4695 5793 6260 7512 7724 9077 9390 9655 11586 12520 15448 18154 18780 19310 23172 27231 28965 36308 37560 38620 45385 46344 54462 55999 57930 72616 77240 90770 108924 111998 115860 136155 167997 181540 217848 223996 231720 272310 279995 335994 363080 447992 544620 559990 604403 671988 839985 1089240 1119980 1208806 1343976 1679970 1813209 2239960 2417612 3022015 3359940 3626418 4835224 6044030 6719880 7252836 9066045 12088060 14505672 17527687 18132090 24176120 35055374 36264180 52583061 70110748 72528360 87638435 105166122 140221496 175276870 210332244 262915305 350553740 420664488 525830610 701107480 1051661220 2103322440