Search a number
-
+
10120021221000 = 2335329116322083
BaseRepresentation
bin1001001101000100000001…
…0001010001111010001000
31022211110112200100000001210
42103101000101101322020
52311301300413033000
633305023520213120
72063101363032435
oct223210021217210
938743480300053
1010120021221000
113251971172859
1211753b276a1a0
135854108629a2
1426db511dab8c
151283a1bdb350
hex93440451e88

10120021221000 has 128 divisors (see below), whose sum is σ = 32663241187200. Its totient is φ = 2605614636800.

The previous prime is 10120021220983. The next prime is 10120021221061. The reversal of 10120021221000 is 12212002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58074042 + ... + 58248041.

It is an arithmetic number, because the mean of its divisors is an integer number (255181571775).

Almost surely, 210120021221000 is an apocalyptic number.

10120021221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120021221000 is an abundant number, since it is smaller than the sum of its proper divisors (22543219966200).

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

10120021221000 is a wasteful number, since it uses less digits than its factorization.

10120021221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116322136 (or 116322122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120021221000 its reverse (12212002101), we get a palindrome (10132233223101).

The spelling of 10120021221000 in words is "ten trillion, one hundred twenty billion, twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 116322083 232644166 348966249 465288332 581610415 697932498 930576664 1163220830 1395864996 1744831245 2326441660 2791729992 2908052075 3373340407 3489662490 4652883320 5816104150 6746680814 6979324980 8724156225 10120021221 11632208300 13493361628 13958649960 14540260375 16866702035 17448312450 20240042442 23264416600 26986723256 29080520750 33733404070 34896624900 40480084884 43620781125 50600106105 58161041500 67466808140 69793249800 80960169768 84333510175 87241562250 101200212210 116322083000 134933616280 168667020350 174483124500 202400424420 253000530525 337334040700 348966249000 404800848840 421667550875 506001061050 674668081400 843335101750 1012002122100 1265002652625 1686670203500 2024004244200 2530005305250 3373340407000 5060010610500 10120021221000