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230200110300 = 2235261107117563
BaseRepresentation
bin1101011001100011111…
…1101110110011011100
3211000012001010020121010
43112120333232303130
512232422212012200
6253430311135220
722426400436546
oct3263077566334
9730161106533
10230200110300
1189699a63046
1238745674510
1318927ca9824
14b1dad3a696
155ec492a150
hex3598feecdc

230200110300 has 144 divisors (see below), whose sum is σ = 683297016192. Its totient is φ = 59815545600.

The previous prime is 230200110229. The next prime is 230200110347. The reversal of 230200110300 is 3011002032.

It is a happy number.

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

It is a congruent number.

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, 1899319 + ... + 2016881.

It is an arithmetic number, because the mean of its divisors is an integer number (4745118168).

Almost surely, 2230200110300 is an apocalyptic number.

230200110300 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 230200110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341648508096).

230200110300 is an abundant number, since it is smaller than the sum of its proper divisors (453096905892).

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

230200110300 is a wasteful number, since it uses less digits than its factorization.

230200110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117748 (or 117741 counting only the distinct ones).

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

Adding to 230200110300 its reverse (3011002032), we get a palindrome (233211112332).

The spelling of 230200110300 in words is "two hundred thirty billion, two hundred million, one hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 107 122 150 183 214 244 300 305 321 366 428 535 610 642 732 915 1070 1220 1284 1525 1605 1830 2140 2675 3050 3210 3660 4575 5350 6100 6420 6527 8025 9150 10700 13054 16050 18300 19581 26108 32100 32635 39162 65270 78324 97905 117563 130540 163175 195810 235126 326350 352689 391620 470252 489525 587815 652700 705378 979050 1175630 1410756 1763445 1958100 2351260 2939075 3526890 5878150 7053780 7171343 8817225 11756300 12579241 14342686 17634450 21514029 25158482 28685372 35268900 35856715 37737723 43028058 50316964 62896205 71713430 75475446 86056116 107570145 125792410 143426860 150950892 179283575 188688615 215140290 251584820 314481025 358567150 377377230 430280580 537850725 628962050 717134300 754754460 767333701 943443075 1075701450 1257924100 1534667402 1886886150 2151402900 2302001103 3069334804 3773772300 3836668505 4604002206 7673337010 9208004412 11510005515 15346674020 19183342525 23020011030 38366685050 46040022060 57550027575 76733370100 115100055150 230200110300