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10323000201320 = 235172943194687
BaseRepresentation
bin1001011000111000001011…
…0000101001000001101000
31100112212110122002120022122
42112032002300221001220
52323113001022420240
633542153144210412
72113545365635322
oct226160260510150
940485418076278
1010323000201320
11331aa61547a64
1211a87bba69a08
1359b5bb0b6ac1
142798c8bb2612
1512d7d19514b5
hex96382c29068

10323000201320 has 96 divisors (see below), whose sum is σ = 24676276078080. Its totient is φ = 3885852840960.

The previous prime is 10323000201281. The next prime is 10323000201331. The reversal of 10323000201320 is 2310200032301.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108975017 + ... + 109069703.

It is an arithmetic number, because the mean of its divisors is an integer number (257044542480).

Almost surely, 210323000201320 is an apocalyptic number.

10323000201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323000201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338138039040).

10323000201320 is an abundant number, since it is smaller than the sum of its proper divisors (14353275876760).

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

10323000201320 is a wasteful number, since it uses less digits than its factorization.

10323000201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104163 (or 104142 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10323000201320 its reverse (2310200032301), we get a palindrome (12633200233621).

The spelling of 10323000201320 in words is "ten trillion, three hundred twenty-three billion, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 9431 11560 18862 37724 47155 75448 94310 94687 160327 188620 189374 320654 377240 378748 473435 641308 757496 801635 946870 1282616 1603270 1609679 1893740 2725559 3206540 3219358 3787480 5451118 6413080 6438716 8048395 10902236 12877432 13627795 16096790 21804472 27255590 27364543 32193580 54511180 54729086 64387160 109022360 109458172 136822715 218916344 273645430 547290860 892993097 1094581720 1785986194 3571972388 4464965485 7143944776 8929930970 15180882649 17859861940 30361765298 35719723880 60723530596 75904413245 121447061192 151808826490 258075005033 303617652980 516150010066 607235305960 1032300020132 1290375025165 2064600040264 2580750050330 5161500100660 10323000201320