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2103433300 = 225247521859
BaseRepresentation
bin111110101011111…
…1101100001010100
312102120222111001001
41331113331201110
513301434331200
6544415513044
7103060613413
oct17527754124
95376874031
102103433300
1198a373631
124a8528784
13276a207b7
1415d50147a
15c49e476a
hex7d5fd854

2103433300 has 72 divisors (see below), whose sum is σ = 4675950720. Its totient is φ = 820934400.

The previous prime is 2103433271. The next prime is 2103433301. The reversal of 2103433300 is 33343012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103433301) by changing a digit.

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, 2448271 + ... + 2449129.

It is an arithmetic number, because the mean of its divisors is an integer number (64943760).

Almost surely, 22103433300 is an apocalyptic number.

2103433300 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 2103433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337975360).

2103433300 is an abundant number, since it is smaller than the sum of its proper divisors (2572517420).

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

2103433300 is a wasteful number, since it uses less digits than its factorization.

2103433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2103433300 is about 45863.2020251530. The cubic root of 2103433300 is about 1281.2766600045.

Adding to 2103433300 its reverse (33343012), we get a palindrome (2136776312).

It can be divided in two parts, 210 and 3433300, that added together give a triangular number (3433510 = T2620).

The spelling of 2103433300 in words is "two billion, one hundred three million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 521 859 940 1042 1175 1718 2084 2350 2605 3436 4295 4700 5210 8590 10420 13025 17180 21475 24487 26050 40373 42950 48974 52100 80746 85900 97948 122435 161492 201865 244870 403730 447539 489740 612175 807460 895078 1009325 1224350 1790156 2018650 2237695 2448700 4037300 4475390 8950780 11188475 21034333 22376950 42068666 44753900 84137332 105171665 210343330 420686660 525858325 1051716650 2103433300