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10220323101330 = 23527729317412411
BaseRepresentation
bin1001010010111001101010…
…1110100101101010010010
31100012001102220000110021110
42110232122232211222102
52314422210203220310
633423052425434150
72103252063661506
oct224563256455222
940161386013243
1010220323101330
113290461a47031
12119092563b956
13591a06a7b034
142749483a0306
1512acc26a6d20
hex94b9aba5a92

10220323101330 has 128 divisors (see below), whose sum is σ = 24725784335616. Its totient is φ = 2703635942400.

The previous prime is 10220323101319. The next prime is 10220323101371. The reversal of 10220323101330 is 3310132302201.

10220323101330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10220323101297 and 10220323101306.

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, 4239037825 + ... + 4239040235.

It is an arithmetic number, because the mean of its divisors is an integer number (193170190122).

Almost surely, 210220323101330 is an apocalyptic number.

10220323101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220323101330 is an abundant number, since it is smaller than the sum of its proper divisors (14505461234286).

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

10220323101330 is a wasteful number, since it uses less digits than its factorization.

10220323101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10220323101330 its reverse (3310132302201), we get a palindrome (13530455403531).

The spelling of 10220323101330 in words is "ten trillion, two hundred twenty billion, three hundred twenty-three million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 277 293 554 586 831 879 1385 1465 1662 1741 1758 2411 2770 2930 3482 4155 4395 4822 5223 7233 8310 8705 8790 10446 12055 14466 17410 24110 26115 36165 52230 72330 81161 162322 243483 405805 482257 486966 510113 667847 706423 811610 964514 1020226 1217415 1335694 1412846 1446771 1530339 2003541 2119269 2411285 2434830 2550565 2893542 3060678 3339235 3532115 4007082 4197551 4238538 4822570 5101130 6678470 7064230 7233855 7651695 8395102 10017705 10596345 12592653 14467710 15303390 20035410 20987755 21192690 25185306 41975510 62963265 125926530 141301301 195679171 282602602 391358342 423903903 587037513 706506505 847807806 978395855 1162721627 1174075026 1229882443 1413013010 1956791710 2119519515 2325443254 2459764886 2935187565 3488164881 3689647329 4239039030 5813608135 5870375130 6149412215 6976329762 7379294658 11627216270 12298824430 17440824405 18448236645 34881648810 36896473290 340677436711 681354873422 1022032310133 1703387183555 2044064620266 3406774367110 5110161550665 10220323101330