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230300001300100 = 22521311372936659
BaseRepresentation
bin110100010111010011100101…
…110001001110111010000100
31010012102110120001200220012111
4310113103211301032322010
5220141213400313100400
62133450205433430404
766336424503002644
oct6427234561167204
91105373501626174
10230300001300100
1167420755909466
12219b582456b404
139b67273893704
1440c2818370524
151b959716d23ba
hexd174e5c4ee84

230300001300100 has 108 divisors (see below), whose sum is σ = 507268930679280. Its totient is φ = 90749421651200.

The previous prime is 230300001300071. The next prime is 230300001300121. The reversal of 230300001300100 is 1003100003032.

230300001300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245405571 + ... + 246342229.

Almost surely, 2230300001300100 is an apocalyptic number.

230300001300100 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 230300001300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253634465339640).

230300001300100 is an abundant number, since it is smaller than the sum of its proper divisors (276968929379180).

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

230300001300100 is a wasteful number, since it uses less digits than its factorization.

230300001300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937078 (or 936934 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 230300001300100 its reverse (1003100003032), we get a palindrome (231303101303132).

The spelling of 230300001300100 in words is "two hundred thirty trillion, three hundred billion, one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 137 262 274 524 548 655 685 1310 1370 2620 2740 3275 3425 6550 6850 13100 13700 17947 18769 35894 37538 71788 75076 89735 93845 179470 187690 358940 375380 448675 469225 897350 936659 938450 1794700 1873318 1876900 2458739 3746636 4683295 4917478 9366590 9834956 12293695 18733180 23416475 24587390 46832950 49174780 61468475 93665900 122702329 122936950 128322283 245404658 245873900 256644566 490809316 513289132 613511645 641611415 1227023290 1283222830 2454046580 2566445660 3067558225 3208057075 6135116450 6416114150 12270232900 12832228300 16810219073 17580152771 33620438146 35160305542 67240876292 70320611084 84051095365 87900763855 168102190730 175801527710 336204381460 351603055420 420255476825 439503819275 840510953650 879007638550 1681021907300 1758015277100 2303000013001 4606000026002 9212000052004 11515000065005 23030000130010 46060000260020 57575000325025 115150000650050 230300001300100