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2321343100 = 2252181277463
BaseRepresentation
bin1000101001011100…
…1110001001111100
312222210000110002101
42022113032021330
514223230434400
61022202234444
7111345043066
oct21227161174
95883013071
102321343100
11a9137947a
125494b5a24
132acc089cb
14180426736
15d8bda56a
hex8a5ce27c

2321343100 has 72 divisors (see below), whose sum is σ = 5094410048. Its totient is φ = 918086400.

The previous prime is 2321343091. The next prime is 2321343127. The reversal of 2321343100 is 13431232.

2321343100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23213431002 = 10777267575835220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5013469 + ... + 5013931.

Almost surely, 22321343100 is an apocalyptic number.

2321343100 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 2321343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547205024).

2321343100 is an abundant number, since it is smaller than the sum of its proper divisors (2773066948).

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

2321343100 is a wasteful number, since it uses less digits than its factorization.

2321343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2321343100 is about 48180.3185958748. The cubic root of 2321343100 is about 1324.0766035761.

Adding to 2321343100 its reverse (13431232), we get a palindrome (2334774332).

The spelling of 2321343100 in words is "two billion, three hundred twenty-one million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 277 362 463 554 724 905 926 1108 1385 1810 1852 2315 2770 3620 4525 4630 5540 6925 9050 9260 11575 13850 18100 23150 27700 46300 50137 83803 100274 128251 167606 200548 250685 256502 335212 419015 501370 513004 641255 838030 1002740 1253425 1282510 1676060 2095075 2506850 2565020 3206275 4190150 5013700 6412550 8380300 12825100 23213431 46426862 92853724 116067155 232134310 464268620 580335775 1160671550 2321343100