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230320022100 = 223527911120391
BaseRepresentation
bin1101011010000000100…
…1001010001001010100
3211000111101202101122220
43112200021022021110
512233143411201400
6253450233222340
722432354612620
oct3264011121124
9730441671586
10230320022100
1189750714603
12387798619b0
1318946aa255c
14b20cc32180
155ed02147a0
hex35a024a254

230320022100 has 144 divisors (see below), whose sum is σ = 762433867776. Its totient is φ = 52586352000.

The previous prime is 230320022041. The next prime is 230320022171. The reversal of 230320022100 is 1220023032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230320022100.

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, 1852905 + ... + 1973295.

Almost surely, 2230320022100 is an apocalyptic number.

230320022100 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 230320022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381216933888).

230320022100 is an abundant number, since it is smaller than the sum of its proper divisors (532113845676).

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

230320022100 is a wasteful number, since it uses less digits than its factorization.

230320022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121326 (or 121319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230320022100 its reverse (1220023032), we get a palindrome (231540045132).

The spelling of 230320022100 in words is "two hundred thirty billion, three hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 911 1050 1822 2100 2733 3644 4555 5466 6377 9110 10932 12754 13665 18220 19131 22775 25508 27330 31885 38262 45550 54660 63770 68325 76524 91100 95655 120391 127540 136650 159425 191310 240782 273300 318850 361173 382620 478275 481564 601955 637700 722346 842737 956550 1203910 1444692 1685474 1805865 1913100 2407820 2528211 3009775 3370948 3611730 4213685 5056422 6019550 7223460 8427370 9029325 10112844 12039100 12641055 16854740 18058650 21068425 25282110 36117300 42136850 50564220 63205275 84273700 109676201 126410550 219352402 252821100 329028603 438704804 548381005 658057206 767733407 1096762010 1316114412 1535466814 1645143015 2193524020 2303200221 2741905025 3070933628 3290286030 3838667035 4606400442 5483810050 6580572060 7677334070 8225715075 9212800884 10967620100 11516001105 15354668140 16451430150 19193335175 23032002210 32902860300 38386670350 46064004420 57580005525 76773340700 115160011050 230320022100