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10230221322321 = 37111317871906361
BaseRepresentation
bin1001010011011110100010…
…1101010011100001010001
31100012222222201021011211220
42110313220231103201101
52320102443124303241
633431410534555253
72104052264321610
oct224675055234121
940188881234756
1010230221322321
113294681264a60
121192828508b29
13592923651030
14275206bcb877
1512b1a165d166
hex94de8b53851

10230221322321 has 64 divisors (see below), whose sum is σ = 18324500576256. Its totient is φ = 4902852902400.

The previous prime is 10230221322317. The next prime is 10230221322359. The reversal of 10230221322321 is 12322312203201.

It is not a de Polignac number, because 10230221322321 - 22 = 10230221322317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10230221322291 and 10230221322300.

It is not an unprimeable number, because it can be changed into a prime (10230221320321) 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, 4413181 + ... + 6319541.

It is an arithmetic number, because the mean of its divisors is an integer number (286320321504).

Almost surely, 210230221322321 is an apocalyptic number.

10230221322321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10230221322321 is a deficient number, since it is larger than the sum of its proper divisors (8094279253935).

10230221322321 is a wasteful number, since it uses less digits than its factorization.

10230221322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908182.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10230221322321 its reverse (12322312203201), we get a palindrome (22552533525522).

The spelling of 10230221322321 in words is "ten trillion, two hundred thirty billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 1787 3003 5361 12509 19657 23231 37527 58971 69693 137599 162617 255541 412797 487851 766623 1788787 1906361 5366361 5719083 13344527 20969971 24782693 40033581 62909913 74348079 146789797 173478851 272609623 440369391 520436553 817828869 1908267361 3406667107 5724802083 10220001321 23846669749 37473338177 44286672391 71540009247 112420014531 132860017173 262313367239 310006706737 487153396301 786940101717 930020120211 1461460188903 3410073774107 10230221322321