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10242021343240 = 2351780811863853
BaseRepresentation
bin1001010100001010100000…
…0010110100000000001000
31100021010110002002100110201
42111002220002310000020
52320301124430440430
633441041502221544
72104650556666141
oct225025002640010
940233402070421
1010242021343240
113299687048365
121194b802848b4
13593a84237c2b
14275a06030ac8
1512b64257a8ca
hex950a80b4008

10242021343240 has 64 divisors (see below), whose sum is σ = 24403142205360. Its totient is φ = 3855340584960.

The previous prime is 10242021343237. The next prime is 10242021343259. The reversal of 10242021343240 is 4234312024201.

It can be written as a sum of positive squares in 8 ways, for example, as 8272169795044 + 1969851548196 = 2876138^2 + 1403514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10242021343199 and 10242021343208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4563154 + ... + 6427006.

Almost surely, 210242021343240 is an apocalyptic number.

10242021343240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242021343240 is an abundant number, since it is smaller than the sum of its proper divisors (14161120862120).

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

10242021343240 is a wasteful number, since it uses less digits than its factorization.

10242021343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871962 (or 1871958 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10242021343240 its reverse (4234312024201), we get a palindrome (14476333367441).

The spelling of 10242021343240 in words is "ten trillion, two hundred forty-two billion, twenty-one million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 8081 16162 32324 40405 64648 80810 137377 161620 274754 323240 549508 686885 1099016 1373770 1863853 2747540 3727706 5495080 7455412 9319265 14910824 18638530 31685501 37277060 63371002 74554120 126742004 158427505 253484008 316855010 633710020 1267420040 15061796093 30123592186 60247184372 75308980465 120494368744 150617960930 256050533581 301235921860 512101067162 602471843720 1024202134324 1280252667905 2048404268648 2560505335810 5121010671620 10242021343240