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10221303303321 = 31113914919017867
BaseRepresentation
bin1001010010111101010100…
…1001110000110010011001
31100012010222012102212121220
42110233111021300302121
52314431212121201241
633423334002522253
72103315265364325
oct224572511606231
940163865385556
1010221303303321
113290915278320
121190b59966389
13591b31b75a06
142749dc636985
1512ad2d777166
hex94bd5270c99

10221303303321 has 64 divisors (see below), whose sum is σ = 15084655488000. Its totient is φ = 6104896992000.

The previous prime is 10221303303301. The next prime is 10221303303331. The reversal of 10221303303321 is 12330330312201.

It is not a de Polignac number, because 10221303303321 - 215 = 10221303270553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221303303291 and 10221303303300.

It is not an unprimeable number, because it can be changed into a prime (10221303303301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299259230 + ... + 1299267096.

It is an arithmetic number, because the mean of its divisors is an integer number (235697742000).

Almost surely, 210221303303321 is an apocalyptic number.

10221303303321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221303303321 is a deficient number, since it is larger than the sum of its proper divisors (4863352184679).

10221303303321 is a wasteful number, since it uses less digits than its factorization.

10221303303321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10221303303321 its reverse (12330330312201), we get a palindrome (22551633615522).

The spelling of 10221303303321 in words is "ten trillion, two hundred twenty-one billion, three hundred three million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 11 33 139 149 417 447 1529 1639 1901 4587 4917 5703 7867 20711 20911 23601 62133 62733 86537 227821 259611 264239 283249 683463 792717 849747 1093513 1172183 2906629 3115739 3280539 3516549 8719887 9347217 12028643 12894013 14955167 36085929 38682039 39371611 44865501 118114833 162933437 164506837 433087721 488800311 493520511 1299263163 1792267807 2078768213 2228319883 5376803421 6236304639 6684959649 22866450343 24511518713 68599351029 73534556139 309736463737 929209391211 3407101101107 10221303303321