Search a number
-
+
231000320100 = 2235211151146327
BaseRepresentation
bin1101011100100010110…
…0010010100001100100
3211002020210212010002010
43113020230102201210
512241042040220400
6254041534314220
722455255215664
oct3271054224144
9732223763063
10231000320100
1189a6a727560
1238929658970
1318a24a04054
14b27531c1a4
15601ece4450
hex35c8b12864

231000320100 has 144 divisors (see below), whose sum is σ = 729619301376. Its totient is φ = 55961808000.

The previous prime is 231000320063. The next prime is 231000320197. The reversal of 231000320100 is 1023000132.

It is a happy number.

It is a super-2 number, since 2×2310003201002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4963137 + ... + 5009463.

It is an arithmetic number, because the mean of its divisors is an integer number (5066800704).

Almost surely, 2231000320100 is an apocalyptic number.

231000320100 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 231000320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364809650688).

231000320100 is an abundant number, since it is smaller than the sum of its proper divisors (498618981276).

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

231000320100 is a wasteful number, since it uses less digits than its factorization.

231000320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47866 (or 47859 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 231000320100 its reverse (1023000132), we get a palindrome (232023320232).

The spelling of 231000320100 in words is "two hundred thirty-one billion, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1511 1650 3022 3300 4533 6044 7555 9066 15110 16621 18132 22665 30220 33242 37775 45330 46327 49863 66484 75550 83105 90660 92654 99726 113325 138981 151100 166210 185308 199452 226650 231635 249315 277962 332420 415525 453300 463270 498630 509597 555924 694905 831050 926540 997260 1019194 1158175 1246575 1389810 1528791 1662100 2038388 2316350 2493150 2547985 2779620 3057582 3474525 4632700 4986300 5095970 6115164 6949050 7643955 10191940 12739925 13898100 15287910 25479850 30575820 38219775 50959700 70000097 76439550 140000194 152879100 210000291 280000388 350000485 420000582 700000970 770001067 840001164 1050001455 1400001940 1540002134 1750002425 2100002910 2310003201 3080004268 3500004850 3850005335 4200005820 4620006402 5250007275 7000009700 7700010670 9240012804 10500014550 11550016005 15400021340 19250026675 21000029100 23100032010 38500053350 46200064020 57750080025 77000106700 115500160050 231000320100