Search a number
-
+
203211303100 = 2252131015632749
BaseRepresentation
bin1011110101000001010…
…1100110100010111100
3201102112010220210012021
42331100111212202330
511312134043144400
6233204243245524
720452523401501
oct2752025464274
9642463823167
10203211303100
11791aa534803
12334730798a4
1316216717720
149b9a7ad4a8
15544535671a
hex2f505668bc

203211303100 has 144 divisors (see below), whose sum is σ = 480617676000. Its totient is φ = 74130048000.

The previous prime is 203211303091. The next prime is 203211303121. The reversal of 203211303100 is 1303112302.

203211303100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032113031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73920526 + ... + 73923274.

It is an arithmetic number, because the mean of its divisors is an integer number (3337622750).

Almost surely, 2203211303100 is an apocalyptic number.

203211303100 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 203211303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240308838000).

203211303100 is an abundant number, since it is smaller than the sum of its proper divisors (277406372900).

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

203211303100 is a wasteful number, since it uses less digits than its factorization.

203211303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 203211303100 its reverse (1303112302), we get a palindrome (204514415402).

The spelling of 203211303100 in words is "two hundred three billion, two hundred eleven million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 563 650 1010 1126 1300 1313 2020 2252 2525 2626 2749 2815 5050 5252 5498 5630 6565 7319 10100 10996 11260 13130 13745 14075 14638 26260 27490 28150 29276 32825 35737 36595 54980 56300 56863 65650 68725 71474 73190 113726 131300 137450 142948 146380 178685 182975 227452 274900 277649 284315 357370 365950 555298 568630 714740 731900 739219 893425 1110596 1137260 1388245 1421575 1478438 1547687 1786850 2776490 2843150 2956876 3095374 3573700 3609437 3696095 5552980 5686300 6190748 6941225 7218874 7392190 7738435 13882450 14437748 14784380 15476870 18047185 18480475 20119931 27764900 30953740 36094370 36960950 38692175 40239862 72188740 73921900 77384350 80479724 90235925 100599655 154768700 156316387 180471850 201199310 312632774 360943700 402398620 502998275 625265548 781581935 1005996550 1563163870 2011993100 2032113031 3126327740 3907909675 4064226062 7815819350 8128452124 10160565155 15631638700 20321130310 40642260620 50802825775 101605651550 203211303100