Search a number
-
+
211233110200 = 23527252341213
BaseRepresentation
bin1100010010111001111…
…0010111100010111000
3202012020012100210210221
43010232132113202320
511430101134011300
6241012242345424
721155360545300
oct3045636274270
9665205323727
10211233110200
1181646647152
1234b3165b274
1316bc4624648
14a31bd12600
15576470d31a
hex312e7978b8

211233110200 has 144 divisors (see below), whose sum is σ = 572405584680. Its totient is φ = 72282551040.

The previous prime is 211233110197. The next prime is 211233110203. The reversal of 211233110200 is 2011332112.

It is an interprime number because it is at equal distance from previous prime (211233110197) and next prime (211233110203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211233110203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5104794 + ... + 5146006.

Almost surely, 2211233110200 is an apocalyptic number.

211233110200 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 211233110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286202792340).

211233110200 is an abundant number, since it is smaller than the sum of its proper divisors (361172474480).

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

211233110200 is a wasteful number, since it uses less digits than its factorization.

211233110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41766 (or 41750 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211233110200 its reverse (2011332112), we get a palindrome (213244442312).

The spelling of 211233110200 in words is "two hundred eleven billion, two hundred thirty-three million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 523 700 980 1046 1225 1400 1960 2092 2450 2615 3661 4184 4900 5230 7322 9800 10460 13075 14644 18305 20920 25627 26150 29288 36610 41213 51254 52300 73220 82426 91525 102508 104600 128135 146440 164852 183050 205016 206065 256270 288491 329704 366100 412130 512540 576982 640675 732200 824260 1025080 1030325 1153964 1281350 1442455 1648520 2019437 2060650 2307928 2562700 2884910 4038874 4121300 5125400 5769820 7212275 8077748 8242600 10097185 11539640 14424550 16155496 20194370 21554399 28849100 40388740 43108798 50485925 57698200 80777480 86217596 100971850 107771995 150880793 172435192 201943700 215543990 301761586 403887400 431087980 538859975 603523172 754403965 862175960 1056165551 1077719950 1207046344 1508807930 2112331102 2155439900 3017615860 3772019825 4224662204 4310879800 5280827755 6035231720 7544039650 8449324408 10561655510 15088079300 21123311020 26404138775 30176158600 42246622040 52808277550 105616555100 211233110200