Search a number
-
+
120201011102100 = 223524153184385659
BaseRepresentation
bin11011010101001001111010…
…100100011000000110010100
3120202121002211010122000202210
4123111021322210120012110
5111223333132320231400
61103351325430233420
734214144052311535
oct3325117244300624
9522532733560683
10120201011102100
1135332a65151385
12115939174b5870
13520bba30723c6
142197a8d54c68c
15dd6a86750950
hex6d527a918194

120201011102100 has 144 divisors (see below), whose sum is σ = 362986035531840. Its totient is φ = 30681773491200.

The previous prime is 120201011102083. The next prime is 120201011102111. The reversal of 120201011102100 is 1201110102021.

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, 91540930 + ... + 92844729.

It is an arithmetic number, because the mean of its divisors is an integer number (2520736357860).

Almost surely, 2120201011102100 is an apocalyptic number.

120201011102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201011102100 is an abundant number, since it is smaller than the sum of its proper divisors (242785024429740).

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

120201011102100 is a wasteful number, since it uses less digits than its factorization.

120201011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184385770 (or 184385763 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120201011102100 its reverse (1201110102021), we get a palindrome (121402121204121).

The spelling of 120201011102100 in words is "one hundred twenty trillion, two hundred one billion, eleven million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 53 60 75 82 100 106 123 150 159 164 205 212 246 265 300 318 410 492 530 615 636 795 820 1025 1060 1230 1325 1590 2050 2173 2460 2650 3075 3180 3975 4100 4346 5300 6150 6519 7950 8692 10865 12300 13038 15900 21730 26076 32595 43460 54325 65190 108650 130380 162975 217300 325950 651900 184385659 368771318 553156977 737542636 921928295 1106313954 1843856590 2212627908 2765784885 3687713180 4609641475 5531569770 7559812019 9219282950 9772439927 11063139540 13828924425 15119624038 18438565900 19544879854 22679436057 27657848850 29317319781 30239248076 37799060095 39089759708 45358872114 48862199635 55315697700 58634639562 75598120190 90717744228 97724399270 113397180285 117269279124 146586598905 151196240380 188995300475 195448798540 226794360570 244310998175 293173197810 377990600950 400670037007 453588721140 488621996350 566985901425 586346395620 732932994525 755981201900 801340074014 977243992700 1133971802850 1202010111021 1465865989050 1602680148028 2003350185035 2267943605700 2404020222042 2931731978100 4006700370070 4808040444084 6010050555105 8013400740140 10016750925175 12020101110210 20033501850350 24040202220420 30050252775525 40067003700700 60100505551050 120201011102100