Search a number
-
+
120010221011010 = 235111019913633367
BaseRepresentation
bin11011010010011000001110…
…100101111100000001000010
3120201220212100122102012011210
4123102120032211330001002
5111212221413034323020
61103123533500350550
734164311103303111
oct3322301645740102
9521825318365153
10120010221011010
113526a05a112050
1211562950245456
1351c6bb8b49a95
14218c7506c3c78
15dd1b1bb1d3e0
hex6d260e97c042

120010221011010 has 128 divisors (see below), whose sum is σ = 317639843463168. Its totient is φ = 28776258720000.

The previous prime is 120010221010997. The next prime is 120010221011011. The reversal of 120010221011010 is 10110122010021.

It is a super-2 number, since 2×1200102210110102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120010221011011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31213347 + ... + 34846713.

It is an arithmetic number, because the mean of its divisors is an integer number (2481561277056).

Almost surely, 2120010221011010 is an apocalyptic number.

120010221011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010221011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158819921731584).

120010221011010 is an abundant number, since it is smaller than the sum of its proper divisors (197629622452158).

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

120010221011010 is a wasteful number, since it uses less digits than its factorization.

120010221011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634480.

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

Adding to 120010221011010 its reverse (10110122010021), we get a palindrome (130120343021031).

The spelling of 120010221011010 in words is "one hundred twenty trillion, ten billion, two hundred twenty-one million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 991 1010 1111 1515 1982 2222 2973 3030 3333 4955 5555 5946 6666 9910 10901 11110 14865 16665 21802 29730 32703 33330 54505 65406 100091 109010 163515 200182 300273 327030 500455 600546 1000910 1101001 1501365 2202002 3002730 3303003 3633367 5505005 6606006 7266734 10900101 11010010 16515015 18166835 21800202 33030030 36333670 39967037 54500505 79934074 109001010 119901111 199835185 239802222 366970067 399670370 599505555 733940134 1100910201 1199011110 1834850335 2201820402 3600666697 3669700670 4036670737 5504551005 7201333394 8073341474 10802000091 11009102010 12110012211 18003333485 20183353685 21604000182 24220024422 36006666970 39607333667 40366707370 54010000455 60550061055 79214667334 108020000910 118822001001 121100122110 198036668335 237644002002 363667336397 396073336670 594110005005 727334672794 1091002009191 1188220010010 1818336681985 2182004018382 3636673363970 4000340700367 5455010045955 8000681400734 10910020091910 12001022101101 20001703501835 24002044202202 40003407003670 60005110505505 120010221011010