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42431324130 = 23251336266089
BaseRepresentation
bin100111100001000110…
…101001111111100010
311001112010000121012100
4213201012221333202
51143344404333010
631254230311230
73031326206226
oct474106517742
9131463017170
1042431324130
1116aa4415928
1282821b8516
1340029b7ab0
1420a7462786
1511851992c0
hex9e11a9fe2

42431324130 has 48 divisors (see below), whose sum is σ = 118807710840. Its totient is φ = 10444633344.

The previous prime is 42431324123. The next prime is 42431324137. The reversal of 42431324130 is 3142313424.

42431324130 is a `hidden beast` number, since 4 + 243 + 1 + 3 + 2 + 413 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42431324123) and next prime (42431324137).

It can be written as a sum of positive squares in 4 ways, for example, as 11522519649 + 30908804481 = 107343^2 + 175809^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42431324094 and 42431324103.

It is not an unprimeable number, because it can be changed into a prime (42431324137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18131875 + ... + 18134214.

Almost surely, 242431324130 is an apocalyptic number.

42431324130 is an abundant number, since it is smaller than the sum of its proper divisors (76376386710).

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

42431324130 is a wasteful number, since it uses less digits than its factorization.

42431324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36266115 (or 36266112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42431324130 its reverse (3142313424), we get a palindrome (45573637554).

The spelling of 42431324130 in words is "forty-two billion, four hundred thirty-one million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 36266089 72532178 108798267 181330445 217596534 326394801 362660890 471459157 543991335 652789602 942918314 1087982670 1414377471 1631974005 2357295785 2828754942 3263948010 4243132413 4714591570 7071887355 8486264826 14143774710 21215662065 42431324130