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2043131242100 = 2252133742476741
BaseRepresentation
bin11101101110110100000…
…111001010011001110100
321020022200022212222010012
4131232310013022121310
5231433313044221400
64202333533115352
7300416461004414
oct35566407123164
97208608788105
102043131242100
1171853a35a413
1228bb80628b58
1311a8882600c0
1470c60c68644
153822e82ed35
hex1dbb41ca674

2043131242100 has 72 divisors (see below), whose sum is σ = 4903685003448. Its totient is φ = 733998067200.

The previous prime is 2043131242091. The next prime is 2043131242109. The reversal of 2043131242100 is 12421313402.

It is an interprime number because it is at equal distance from previous prime (2043131242091) and next prime (2043131242109).

It can be written as a sum of positive squares in 12 ways, for example, as 433221974416 + 1609909267684 = 658196^2 + 1268822^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043131242109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21190271 + ... + 21286470.

It is an arithmetic number, because the mean of its divisors is an integer number (68106736159).

Almost surely, 22043131242100 is an apocalyptic number.

2043131242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2043131242100 is an abundant number, since it is smaller than the sum of its proper divisors (2860553761348).

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

2043131242100 is a wasteful number, since it uses less digits than its factorization.

2043131242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42476805 (or 42476798 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2043131242100 its reverse (12421313402), we get a palindrome (2055552555502).

The spelling of 2043131242100 in words is "two trillion, forty-three billion, one hundred thirty-one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 185 260 325 370 481 650 740 925 962 1300 1850 1924 2405 3700 4810 9620 12025 24050 48100 42476741 84953482 169906964 212383705 424767410 552197633 849534820 1061918525 1104395266 1571639417 2123837050 2208790532 2760988165 3143278834 4247674100 5521976330 6286557668 7858197085 11043952660 13804940825 15716394170 20431312421 27609881650 31432788340 39290985425 40862624842 55219763300 78581970850 81725249684 102156562105 157163941700 204313124210 408626248420 510782810525 1021565621050 2043131242100