Search a number
-
+
323001201111330 = 23572572513837989
BaseRepresentation
bin100100101110001001001001…
…1110110101011000100100010
31120100122121120001210010221210
41021130102103312223010202
5314314022424441030310
63102544411525530550
7125015031605163300
oct11134222366530442
91510577501703853
10323001201111330
1193a11049448a25
1230287968873a56
1310b2cb6200b9c1
1459a94ad2c9270
1527520085e3820
hex125c493dab122

323001201111330 has 96 divisors (see below), whose sum is σ = 901782604681920. Its totient is φ = 73827537168000.

The previous prime is 323001201111317. The next prime is 323001201111361. The reversal of 323001201111330 is 33111102100323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 323001201111297 and 323001201111306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82239976 + ... + 86077964.

It is an arithmetic number, because the mean of its divisors is an integer number (9393568798770).

Almost surely, 2323001201111330 is an apocalyptic number.

323001201111330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

323001201111330 is an abundant number, since it is smaller than the sum of its proper divisors (578781403570590).

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

323001201111330 is a wasteful number, since it uses less digits than its factorization.

323001201111330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895264 (or 3895257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 323001201111330 its reverse (33111102100323), we get a palindrome (356112303211653).

The spelling of 323001201111330 in words is "three hundred twenty-three trillion, one billion, two hundred one million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 57251 114502 171753 286255 343506 400757 572510 801514 858765 1202271 1717530 2003785 2404542 2805299 3837989 4007570 5610598 6011355 7675978 8415897 11513967 12022710 14026495 16831794 19189945 23027934 26865923 28052990 38379890 42079485 53731846 57569835 80597769 84158970 115139670 134329615 161195538 188061461 268659230 376122922 402988845 564184383 805977690 940307305 1128368766 1880614610 2820921915 5641843830 219728708239 439457416478 659186124717 1098643541195 1318372249434 1538100957673 2197287082390 3076201915346 3295930623585 4614302873019 6591861247170 7690504788365 9228605746038 10766706703711 15381009576730 21533413407422 23071514365095 32300120111133 46143028730190 53833533518555 64600240222266 107667067037110 161500600555665 323001201111330