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2103243400 = 2352176110141
BaseRepresentation
bin111110101011100…
…1111001010001000
312102120121211112201
41331113033022020
513301412242100
6544411445544
7103056162646
oct17527171210
95376554481
102103243400
1198a253995
124a84568b4
1327698522b
1415d492196
15c49a836a
hex7d5cf288

2103243400 has 96 divisors (see below), whose sum is σ = 5263089480. Its totient is φ = 778752000.

The previous prime is 2103243397. The next prime is 2103243403. The reversal of 2103243400 is 43423012.

It is an interprime number because it is at equal distance from previous prime (2103243397) and next prime (2103243403).

It can be written as a sum of positive squares in 12 ways, for example, as 12376324 + 2090867076 = 3518^2 + 45726^2 .

It is not an unprimeable number, because it can be changed into a prime (2103243403) 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 23 ways as a sum of consecutive naturals, for example, 202330 + ... + 212470.

Almost surely, 22103243400 is an apocalyptic number.

2103243400 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 2103243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631544740).

2103243400 is an abundant number, since it is smaller than the sum of its proper divisors (3159846080).

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

2103243400 is a wasteful number, since it uses less digits than its factorization.

2103243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2103243400 is about 45861.1316912263. The cubic root of 2103243400 is about 1281.2381005439.

Adding to 2103243400 its reverse (43423012), we get a palindrome (2146666412).

The spelling of 2103243400 in words is "two billion, one hundred three million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 61 68 85 100 122 136 170 200 244 305 340 425 488 610 680 850 1037 1220 1525 1700 2074 2440 3050 3400 4148 5185 6100 8296 10141 10370 12200 20282 20740 25925 40564 41480 50705 51850 81128 101410 103700 172397 202820 207400 253525 344794 405640 507050 618601 689588 861985 1014100 1237202 1379176 1723970 2028200 2474404 3093005 3447940 4309925 4948808 6186010 6895880 8619850 10516217 12372020 15465025 17239700 21032434 24744040 30930050 34479400 42064868 52581085 61860100 84129736 105162170 123720200 210324340 262905425 420648680 525810850 1051621700 2103243400