Search a number
-
+
120021002011000 = 2353313747518053
BaseRepresentation
bin11011010010100010010001…
…001100001100000101111000
3120201221220011222202201212201
4123102202101030030011320
5111212411003003323000
61103132515342515544
734165142213266006
oct3322422114140570
9521856158681781
10120021002011000
113527369176a9a2
1211564a5a895bb4
1351c7c16596c0c
14218d094467a76
15dd204d34d96a
hex6d289130c178

120021002011000 has 128 divisors (see below), whose sum is σ = 281032698735360. Its totient is φ = 47977036800000.

The previous prime is 120021002010971. The next prime is 120021002011019. The reversal of 120021002011000 is 110200120021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14903882974 + ... + 14903891026.

It is an arithmetic number, because the mean of its divisors is an integer number (2195567958870).

Almost surely, 2120021002011000 is an apocalyptic number.

120021002011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021002011000 is an abundant number, since it is smaller than the sum of its proper divisors (161011696724360).

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

120021002011000 is a wasteful number, since it uses less digits than its factorization.

120021002011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120021002011000 its reverse (110200120021), we get a palindrome (120131202131021).

The spelling of 120021002011000 in words is "one hundred twenty trillion, twenty-one billion, two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 3137 4751 6274 8053 9502 12548 15685 16106 19004 23755 25096 31370 32212 38008 40265 47510 62740 64424 78425 80530 95020 118775 125480 156850 161060 190040 201325 237550 313700 322120 392125 402650 475100 593875 627400 784250 805300 950200 1006625 1187750 1568500 1610600 2013250 2375500 3137000 4026500 4751000 8053000 14903887 25262261 29807774 38259803 50524522 59615548 74519435 76519606 101049044 119231096 126311305 149038870 153039212 191299015 202098088 252622610 298077740 306078424 372597175 382598030 505245220 596155480 631556525 745194350 765196060 956495075 1010490440 1263113050 1490388700 1530392120 1862985875 1912990150 2526226100 2980777400 3157782625 3725971750 3825980300 4782475375 5052452200 6315565250 7451943500 7651960600 9564950750 12631130500 14903887000 19129901500 25262261000 38259803000 120021002011 240042004022 480084008044 600105010055 960168016088 1200210020110 2400420040220 3000525050275 4800840080440 6001050100550 12002100201100 15002625251375 24004200402200 30005250502750 60010501005500 120021002011000