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201024243230031 = 33135656910124249
BaseRepresentation
bin101101101101010010011010…
…100110111110010101001111
3222100202201201010222011122000
4231231102122212332111033
5202322040122231330111
61551313132404323343
760225344101161504
oct5555223246762517
9870681633864560
10201024243230031
11590639a2680841
121a667a183a3553
138822674065b40
14378d8a7add4ab
15183917dd3ec56
hexb6d49a9be54f

201024243230031 has 32 divisors (see below), whose sum is σ = 320728140600000. Its totient is φ = 123705027546624.

The previous prime is 201024243230017. The next prime is 201024243230047. The reversal of 201024243230031 is 130032342420102.

201024243230031 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 424 + 3 + 230 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 201024243230031 - 213 = 201024243221839 is a prime.

It is a super-2 number, since 2×2010242432300312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201024243229977 and 201024243230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201024243230011) 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, 14793595 + ... + 24917843.

It is an arithmetic number, because the mean of its divisors is an integer number (10022754393750).

Almost surely, 2201024243230031 is an apocalyptic number.

201024243230031 is a deficient number, since it is larger than the sum of its proper divisors (119703897369969).

201024243230031 is a wasteful number, since it uses less digits than its factorization.

201024243230031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180840 (or 10180834 counting only the distinct ones).

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

Adding to 201024243230031 its reverse (130032342420102), we get a palindrome (331056585650133).

The spelling of 201024243230031 in words is "two hundred one trillion, twenty-four billion, two hundred forty-three million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 351 56569 169707 509121 735397 1527363 2206191 6618573 10124249 19855719 30372747 91118241 131615237 273354723 394845711 1184537133 3553611399 572718641681 1718155925043 5154467775129 7445342341853 15463403325387 22336027025559 67008081076677 201024243230031