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10200304324431 = 331385999337919
BaseRepresentation
bin1001010001101111000110…
…0001000000111101001111
31100010010202202011012222000
42110123301201000331033
52314110210401340211
633405542145523343
72101643023121454
oct224336141007517
940103682135860
1010200304324431
113282a19962711
121188a79343553
1358cb6652a910
142739a97cb82b
1512a4eee7c656
hex946f1840f4f

10200304324431 has 32 divisors (see below), whose sum is σ = 16274227200000. Its totient is φ = 6277018787424.

The previous prime is 10200304324409. The next prime is 10200304324459. The reversal of 10200304324431 is 13442340300201.

10200304324431 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 304 + 324 + 4 + 31 = 666.

It is not a de Polignac number, because 10200304324431 - 26 = 10200304324367 is a prime.

It is a super-2 number, since 2×102003043244312 (a number of 27 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 = 10200304324395 and 10200304324404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200304324031) 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, 30016690 + ... + 30354608.

It is an arithmetic number, because the mean of its divisors is an integer number (508569600000).

Almost surely, 210200304324431 is an apocalyptic number.

10200304324431 is a deficient number, since it is larger than the sum of its proper divisors (6073922875569).

10200304324431 is a wasteful number, since it uses less digits than its factorization.

10200304324431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423940 (or 423934 counting only the distinct ones).

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

Adding to 10200304324431 its reverse (13442340300201), we get a palindrome (23642644624632).

The spelling of 10200304324431 in words is "ten trillion, two hundred billion, three hundred four million, three hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 85999 257997 337919 773991 1013757 1117987 2321973 3041271 3353961 4392947 9123813 10061883 13178841 30185649 39536523 118609569 29060696081 87182088243 261546264729 377789049053 784638794187 1133367147159 3400101441477 10200304324431