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10213304122230 = 23511347225139623
BaseRepresentation
bin1001010010011111100001…
…0111010011101101110110
31100011101022201120101001120
42110213320113103231312
52314313321323402410
633415532132404410
72102613124434546
oct224477027235566
940141281511046
1010213304122230
11328848aa0a160
12118b4a6a76706
1359115885b571
14274480103326
1512aa1138e570
hex949f85d3b76

10213304122230 has 128 divisors (see below), whose sum is σ = 26829939142656. Its totient is φ = 2467658160000.

The previous prime is 10213304122223. The next prime is 10213304122279. The reversal of 10213304122230 is 3222140331201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10213304122230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257742199 + ... + 257781821.

It is an arithmetic number, because the mean of its divisors is an integer number (209608899552).

Almost surely, 210213304122230 is an apocalyptic number.

10213304122230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213304122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414969571328).

10213304122230 is an abundant number, since it is smaller than the sum of its proper divisors (16616635020426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213304122230 is a wasteful number, since it uses less digits than its factorization.

10213304122230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42242.

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

Adding to 10213304122230 its reverse (3222140331201), we get a palindrome (13435444453431).

The spelling of 10213304122230 in words is "ten trillion, two hundred thirteen billion, three hundred four million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 347 694 1041 1735 2082 2251 3470 3817 4502 5205 6753 7634 10410 11255 11451 13506 19085 22510 22902 24761 33765 38170 39623 49522 57255 67530 74283 79246 114510 118869 123805 148566 198115 237738 247610 371415 396230 435853 594345 742830 781097 871706 1188690 1307559 1562194 2179265 2343291 2615118 3905485 4358530 4686582 6537795 7810970 8592067 11716455 13075590 13749181 17184134 23432910 25776201 27498362 41247543 42960335 51552402 68745905 82495086 85920670 89191373 128881005 137491810 151240991 178382746 206237715 257762010 267574119 302481982 412475430 445956865 453722973 535148238 756204955 891913730 907445946 981105103 1337870595 1512409910 1962210206 2268614865 2675741190 2943315309 4537229730 4905525515 5886630618 9811051030 14716576545 29433153090 30949406431 61898812862 92848219293 154747032155 185696438586 309494064310 340443470741 464241096465 680886941482 928482192930 1021330412223 1702217353705 2042660824446 3404434707410 5106652061115 10213304122230