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4124204310231 = 3217192831675387
BaseRepresentation
bin111100000000111101101…
…110111001111011010111
3112121021021220000101211100
4330000331232321323113
51020032332300411411
612434344443241143
7603651425140545
oct74007556717327
915537256011740
104124204310231
1113500798a7245
1256736b8191b3
1323bbac03a625
14103880bc0d95
15724300e2456
hex3c03dbb9ed7

4124204310231 has 144 divisors (see below), whose sum is σ = 6778865044224. Its totient is φ = 2407052865024.

The previous prime is 4124204310211. The next prime is 4124204310251. The reversal of 4124204310231 is 1320134024214.

4124204310231 is a `hidden beast` number, since 4 + 1 + 2 + 420 + 4 + 3 + 1 + 0 + 231 = 666.

It is an interprime number because it is at equal distance from previous prime (4124204310211) and next prime (4124204310251).

It is not a de Polignac number, because 4124204310231 - 26 = 4124204310167 is a prime.

It is a super-2 number, since 2×41242043102312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4124204310195 and 4124204310204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124204310211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 765581920 + ... + 765587306.

It is an arithmetic number, because the mean of its divisors is an integer number (47075451696).

Almost surely, 24124204310231 is an apocalyptic number.

4124204310231 is a deficient number, since it is larger than the sum of its proper divisors (2654660733993).

4124204310231 is a wasteful number, since it uses less digits than its factorization.

4124204310231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4124204310231 its reverse (1320134024214), we get a palindrome (5444338334445).

The spelling of 4124204310231 in words is "four trillion, one hundred twenty-four billion, two hundred four million, three hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 9 17 19 51 57 83 153 167 171 249 323 361 501 747 969 1083 1411 1503 1577 2839 2907 3173 3249 4233 4731 5387 6137 8517 9519 12699 13861 14193 16161 18411 25551 26809 28557 29963 41583 48483 53941 55233 60287 80427 89889 91579 102353 124749 161823 180861 235637 241281 263359 269667 274737 307059 447121 485469 509371 542583 706911 790077 824211 899629 921177 1024879 1341363 1528113 1740001 1944707 2120733 2370231 2698887 3074637 4024089 4477103 4584339 5003821 5220003 5834121 7601057 8096661 8495299 9223911 13431309 15011463 15293693 15660009 17092951 17502363 22803171 25485897 33060019 40293927 45034389 45881079 51278853 68409513 74669207 76457691 85064957 99180057 137643237 144420083 153836559 161410681 224007621 255194871 290580167 297540171 324766069 433260249 484232043 672022863 765584613 871740501 974298207 1269376519 1299780747 1418714933 1452696129 2615221503 2743981577 2922894621 3808129557 4256144799 5521023173 8231944731 11424388671 12768434397 16563069519 24118153861 24695834193 26955583727 49689208557 72354461583 80866751181 217063384749 242600253543 458244923359 1374734770077 4124204310231