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230243021100 = 223352197432869
BaseRepresentation
bin1101011001101110001…
…1011011000100101100
3211000022000212100011000
43112123203123010230
512233014203133400
6253434443000300
722430431250121
oct3263343330454
9730260770130
10230243021100
1189711201614
1238757b09090
1318933b52231
14b20290a748
155ec85a4600
hex359b8db12c

230243021100 has 144 divisors (see below), whose sum is σ = 743947696800. Its totient is φ = 61086332160.

The previous prime is 230243021089. The next prime is 230243021137. The reversal of 230243021100 is 1120342032.

230243021100 is a `hidden beast` number, since 23 + 0 + 2 + 430 + 211 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 315466 + ... + 748334.

It is an arithmetic number, because the mean of its divisors is an integer number (5166303450).

Almost surely, 2230243021100 is an apocalyptic number.

230243021100 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 230243021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371973848400).

230243021100 is an abundant number, since it is smaller than the sum of its proper divisors (513704675700).

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

230243021100 is a wasteful number, since it uses less digits than its factorization.

230243021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433089 (or 433076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230243021100 its reverse (1120342032), we get a palindrome (231363363132).

The spelling of 230243021100 in words is "two hundred thirty billion, two hundred forty-three million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 197 225 270 300 394 450 540 591 675 788 900 985 1182 1350 1773 1970 2364 2700 2955 3546 3940 4925 5319 5910 7092 8865 9850 10638 11820 14775 17730 19700 21276 26595 29550 35460 44325 53190 59100 88650 106380 132975 177300 265950 432869 531900 865738 1298607 1731476 2164345 2597214 3895821 4328690 5194428 6493035 7791642 8657380 10821725 11687463 12986070 15583284 19479105 21643450 23374926 25972140 32465175 38958210 43286900 46749852 58437315 64930350 77916420 85275193 97395525 116874630 129860700 170550386 194791050 233749260 255825579 292186575 341100772 389582100 426375965 511651158 584373150 767476737 852751930 1023302316 1168746300 1279127895 1534953474 1705503860 2131879825 2302430211 2558255790 3069906948 3837383685 4263759650 4604860422 5116511580 6395639475 7674767370 8527519300 9209720844 11512151055 12791278950 15349534740 19186918425 23024302110 25582557900 38373836850 46048604220 57560755275 76747673700 115121510550 230243021100