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21531204523413 = 32134313991933503
BaseRepresentation
bin1001110010101000111111…
…10011000001010110010101
32211020100210122220200020200
410321110133303001112111
510310231401324222123
6113443144313051113
74351402214514234
oct471243763012625
984210718820220
1021531204523413
1169513726aa752
1224b8a849b6a99
13c024cb4ab780
14546189cbcb1b
1527512198a143
hex13951fcc1595

21531204523413 has 96 divisors (see below), whose sum is σ = 34557044121600. Its totient is φ = 12834362120832.

The previous prime is 21531204523267. The next prime is 21531204523417. The reversal of 21531204523413 is 31432540213512.

21531204523413 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 120 + 4 + 523 + 4 + 1 + 3 = 666.

It is not a de Polignac number, because 21531204523413 - 213 = 21531204515221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21531204523417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642648220 + ... + 642681722.

It is an arithmetic number, because the mean of its divisors is an integer number (359969209600).

Almost surely, 221531204523413 is an apocalyptic number.

It is an amenable number.

21531204523413 is a deficient number, since it is larger than the sum of its proper divisors (13025839598187).

21531204523413 is a wasteful number, since it uses less digits than its factorization.

21531204523413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34623 (or 34620 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21531204523413 its reverse (31432540213512), we get a palindrome (52963744736925).

The spelling of 21531204523413 in words is "twenty-one trillion, five hundred thirty-one billion, two hundred four million, five hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 43 117 129 139 387 417 559 919 1251 1677 1807 2757 5031 5421 5977 8271 11947 16263 17931 33503 35841 39517 53793 77701 100509 107523 118551 127741 233103 301527 355653 383223 435539 513721 699309 1149669 1306617 1440629 1541163 1660633 3919851 4321887 4623489 4656917 4981899 5492863 12965661 13970751 14945697 16478589 18728177 30789257 41912253 49435767 56184531 60539921 71407219 92367771 168553593 181619763 200247431 214221657 277103313 400260341 544859289 600742293 642664971 1200781023 1323938051 1802226879 2603216603 3602343069 3971814153 4279706723 7809649809 11915442459 12839120169 17211194663 23428949427 38517360507 51633583989 55636187399 154900751967 166908562197 184027389089 500725686591 552082167267 1656246501801 2392356058157 7177068174471 21531204523413