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10202113323321 = 329179229312491
BaseRepresentation
bin1001010001110101110101…
…0101110011000100111001
31100010022102211002212220220
42110131131111303010321
52314122412002321241
633410441451010253
72102035610265633
oct224353525630471
940108384085826
1010202113323321
113283768003317
1211892a3139989
1359009424b96a
14273adbb67a53
1512a5a8bb2166
hex9475d573139

10202113323321 has 48 divisors (see below), whose sum is σ = 14200366944960. Its totient is φ = 6507382725760.

The previous prime is 10202113323307. The next prime is 10202113323377. The reversal of 10202113323321 is 12332331120201.

It is not a de Polignac number, because 10202113323321 - 219 = 10202112799033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202113323291 and 10202113323300.

It is not an unprimeable number, because it can be changed into a prime (10202613323321) 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 47 ways as a sum of consecutive naturals, for example, 816750886 + ... + 816763376.

It is an arithmetic number, because the mean of its divisors is an integer number (295840978020).

Almost surely, 210202113323321 is an apocalyptic number.

It is an amenable number.

10202113323321 is a deficient number, since it is larger than the sum of its proper divisors (3998253621639).

10202113323321 is a wasteful number, since it uses less digits than its factorization.

10202113323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10202113323321 its reverse (12332331120201), we get a palindrome (22534444443522).

The spelling of 10202113323321 in words is "ten trillion, two hundred two billion, one hundred thirteen million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 29 87 179 293 537 879 5191 8497 12491 15573 25491 32041 37473 52447 96123 157341 362239 929189 1086717 1520963 2235889 2787567 3659863 4562889 6707667 9388013 10979589 28164039 64840781 106136027 194522343 272252377 318408081 400224131 655115477 816757131 1200672393 1965346431 11606499799 18998348833 34819499397 56995046499 117265670383 351797011149 3400704441107 10202113323321