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242543031125 = 5317397287501
BaseRepresentation
bin1110000111100010110…
…0001111001101010101
3212012001020111120212212
43201320230033031111
512433212003444000
6303231150523205
723344304514503
oct3417054171525
9765036446785
10242543031125
119395324415a
123b00b206505
1319b441b9285
14ba4c301673
156498336c35
hex3878b0f355

242543031125 has 32 divisors (see below), whose sum is σ = 321307635168. Its totient is φ = 182160000000.

The previous prime is 242543031121. The next prime is 242543031131. The reversal of 242543031125 is 521130345242.

It can be written as a sum of positive squares in 16 ways, for example, as 158740886929 + 83802144196 = 398423^2 + 289486^2 .

It is not a de Polignac number, because 242543031125 - 22 = 242543031121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242543031091 and 242543031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242543031121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699875 + ... + 987375.

It is an arithmetic number, because the mean of its divisors is an integer number (10040863599).

Almost surely, 2242543031125 is an apocalyptic number.

242543031125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242543031125 is a deficient number, since it is larger than the sum of its proper divisors (78764604043).

242543031125 is a wasteful number, since it uses less digits than its factorization.

242543031125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287930 (or 287920 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 242543031125 its reverse (521130345242), we get a palindrome (763673376367).

The spelling of 242543031125 in words is "two hundred forty-two billion, five hundred forty-three million, thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 397 425 1985 2125 6749 9925 33745 49625 168725 287501 843625 1437505 4887517 7187525 24437585 35937625 114137897 122187925 570689485 610939625 1940344249 2853447425 9701721245 14267237125 48508606225 242543031125