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2103323100 = 2235243116267
BaseRepresentation
bin111110101011110…
…0010100111011100
312102120202212212120
41331113202213130
513301422314400
6544413302540
7103056644214
oct17527424734
95376685776
102103323100
1198a2a885a
124a8494a50
132769b25a8
1415d4b3244
15c49c1ca0
hex7d5e29dc

2103323100 has 72 divisors (see below), whose sum is σ = 6100109568. Its totient is φ = 559550400.

The previous prime is 2103323069. The next prime is 2103323141. The reversal of 2103323100 is 13233012.

It is a super-2 number, since 2×21033231002 = 8847936125987220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2103323100.

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 23 ways as a sum of consecutive naturals, for example, 121167 + ... + 137433.

It is an arithmetic number, because the mean of its divisors is an integer number (84723744).

Almost surely, 22103323100 is an apocalyptic number.

2103323100 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 2103323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050054784).

2103323100 is an abundant number, since it is smaller than the sum of its proper divisors (3996786468).

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

2103323100 is a wasteful number, since it uses less digits than its factorization.

2103323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16715 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2103323100 is about 45862.0006105272. Note that the first 3 decimals coincide. The cubic root of 2103323100 is about 1281.2542840230.

Adding to 2103323100 its reverse (13233012), we get a palindrome (2116556112).

The spelling of 2103323100 in words is "two billion, one hundred three million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 431 862 1293 1724 2155 2586 4310 5172 6465 8620 10775 12930 16267 21550 25860 32325 32534 43100 48801 64650 65068 81335 97602 129300 162670 195204 244005 325340 406675 488010 813350 976020 1220025 1626700 2440050 4880100 7011077 14022154 21033231 28044308 35055385 42066462 70110770 84132924 105166155 140221540 175276925 210332310 350553850 420664620 525830775 701107700 1051661550 2103323100