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2443042100 = 2252227281383
BaseRepresentation
bin1001000110011101…
…1101110100110100
320022021000101201202
42101213131310310
520000404321400
61042230512032
7114353341502
oct22147356464
96267011652
102443042100
111044040764
12582205618
132cc1a9055
14192665672
15e47294d5
hex919ddd34

2443042100 has 72 divisors (see below), whose sum is σ = 5357657088. Its totient is φ = 966918400.

The previous prime is 2443042081. The next prime is 2443042109. The reversal of 2443042100 is 12403442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443042109) 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, 6378509 + ... + 6378891.

It is an arithmetic number, because the mean of its divisors is an integer number (74411904).

Almost surely, 22443042100 is an apocalyptic number.

2443042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2443042100 is an abundant number, since it is smaller than the sum of its proper divisors (2914614988).

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

2443042100 is a wasteful number, since it uses less digits than its factorization.

2443042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2443042100 is about 49427.1393062556. The cubic root of 2443042100 is about 1346.8223571208.

Adding to 2443042100 its reverse (12403442), we get a palindrome (2455445542).

The spelling of 2443042100 in words is "two billion, four hundred forty-three million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 227 281 383 454 562 766 908 1124 1135 1405 1532 1915 2270 2810 3830 4540 5620 5675 7025 7660 9575 11350 14050 19150 22700 28100 38300 63787 86941 107623 127574 173882 215246 255148 318935 347764 430492 434705 538115 637870 869410 1076230 1275740 1594675 1738820 2152460 2173525 2690575 3189350 4347050 5381150 6378700 8694100 10762300 24430421 48860842 97721684 122152105 244304210 488608420 610760525 1221521050 2443042100