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120230201230100 = 2252131923473207371
BaseRepresentation
bin11011010101100101000110…
…011011111000001100010100
3120202200220011110000011121122
4123111211012123320030110
5111224322423003330400
61103412554132103112
734216226316306533
oct3325450633701424
9522626143004548
10120230201230100
1135344384221605
1211599503164a98
1352118757090b0
14219925c1bc31a
15dd76e4202685
hex6d59466f8314

120230201230100 has 144 divisors (see below), whose sum is σ = 295770585929280. Its totient is φ = 42054237849600.

The previous prime is 120230201230079. The next prime is 120230201230103. The reversal of 120230201230100 is 1032102032021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120230201230103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579679415 + ... + 579886785.

Almost surely, 2120230201230100 is an apocalyptic number.

120230201230100 is a gapful number since it is divisible by the number (10) 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 120230201230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147885292964640).

120230201230100 is an abundant number, since it is smaller than the sum of its proper divisors (175540384699180).

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

120230201230100 is a wasteful number, since it uses less digits than its factorization.

120230201230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230890 (or 230883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120230201230100 its reverse (1032102032021), we get a palindrome (121262303262121).

The spelling of 120230201230100 in words is "one hundred twenty trillion, two hundred thirty billion, two hundred one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 23473 24700 46946 93892 117365 207371 234730 305149 414742 445987 469460 586825 610298 829484 891974 1036855 1173650 1220596 1525745 1783948 2073710 2229935 2347300 2695823 3051490 3940049 4147420 4459870 5184275 5391646 5797831 6102980 7628725 7880098 8919740 10368550 10783292 11149675 11595662 13479115 15257450 15760196 19700245 20737100 22299350 23191324 26958230 28989155 30514900 39400490 44598700 51220637 53916460 57978310 67395575 78800980 98501225 102441274 115956620 134791150 144945775 197002450 204882548 256103185 269582300 289891550 394004900 512206370 579783100 1024412740 1280515925 2561031850 4867619483 5122063700 9735238966 19470477932 24338097415 48676194830 63279053279 92484770177 97352389660 121690487075 126558106558 184969540354 243380974150 253116213116 316395266395 369939080708 462423850885 486761948300 632790532790 924847701770 1202302012301 1265581065580 1581976331975 1849695403540 2312119254425 2404604024602 3163952663950 4624238508850 4809208049204 6011510061505 6327905327900 9248477017700 12023020123010 24046040246020 30057550307525 60115100615050 120230201230100