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20310230200 = 23521316074861
BaseRepresentation
bin10010111010100101…
…011000010010111000
31221102110021121002011
4102322211120102320
5313043404331300
613155210415304
71316210052061
oct227245302270
957373247064
1020310230200
118682660617
123b29a31534
131bb8a47cc0
14da959d568
157dd0eaeba
hex4ba9584b8

20310230200 has 96 divisors (see below), whose sum is σ = 50895804960. Its totient is φ = 7492953600.

The previous prime is 20310230197. The next prime is 20310230207. The reversal of 20310230200 is 203201302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310230207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4175770 + ... + 4180630.

It is an arithmetic number, because the mean of its divisors is an integer number (530164635).

Almost surely, 220310230200 is an apocalyptic number.

20310230200 is a gapful number since it is divisible by the number (20) 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 20310230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25447902480).

20310230200 is an abundant number, since it is smaller than the sum of its proper divisors (30585574760).

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

20310230200 is a wasteful number, since it uses less digits than its factorization.

20310230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20310230200 its reverse (203201302), we get a palindrome (20513431502).

The spelling of 20310230200 in words is "twenty billion, three hundred ten million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1607 2600 3214 4861 6428 8035 9722 12856 16070 19444 20891 24305 32140 38888 40175 41782 48610 63193 64280 80350 83564 97220 104455 121525 126386 160700 167128 194440 208910 243050 252772 315965 321400 417820 486100 505544 522275 631930 835640 972200 1044550 1263860 1579825 2089100 2527720 3159650 4178200 6319300 7811627 12638600 15623254 31246508 39058135 62493016 78116270 101551151 156232540 195290675 203102302 312465080 390581350 406204604 507755755 781162700 812409208 1015511510 1562325400 2031023020 2538778775 4062046040 5077557550 10155115100 20310230200