Search a number
-
+
120020101100010 = 2355200201246707
BaseRepresentation
bin11011010010100001011011…
…011111011111000111101010
3120201221210212012112201100000
4123102201123133133013222
5111212402131340200020
61103132250121123430
734165110663544236
oct3322413337370752
9521853765481300
10120020101100010
113527326a176161
1211564849029576
1351c7b01a419a7
14218d00a9515c6
15dd1ee91e2090
hex6d285b7df1ea

120020101100010 has 96 divisors (see below), whose sum is σ = 323612682224832. Its totient is φ = 32005070697600.

The previous prime is 120020101099981. The next prime is 120020101100017. The reversal of 120020101100010 is 10001101020021.

It is a happy number.

120020101100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1200201011000102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120020101099965 and 120020101100001.

It is not an unprimeable number, because it can be changed into a prime (120020101100017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486365077 + ... + 486611783.

It is an arithmetic number, because the mean of its divisors is an integer number (3370965439842).

Almost surely, 2120020101100010 is an apocalyptic number.

120020101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120020101100010 is an abundant number, since it is smaller than the sum of its proper divisors (203592581124822).

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

120020101100010 is a wasteful number, since it uses less digits than its factorization.

120020101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446930 (or 446918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120020101100010 its reverse (10001101020021), we get a palindrome (130021202120031).

The spelling of 120020101100010 in words is "one hundred twenty trillion, twenty billion, one hundred one million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 200201 246707 400402 493414 600603 740121 1001005 1201206 1233535 1480242 1801809 2002010 2220363 2467070 3003015 3603618 3700605 4440726 5405427 6006030 6661089 7401210 9009045 10810854 11101815 13322178 16216281 18018090 19983267 22203630 27027135 32432562 33305445 39966534 48648843 54054270 59949801 66610890 81081405 97297686 99916335 119899602 162162810 199832670 243244215 299749005 486488430 599498010 49390988107 98781976214 148172964321 246954940535 296345928642 444518892963 493909881070 740864821605 889037785926 1333556678889 1481729643210 2222594464815 2667113357778 4000670036667 4445188929630 6667783394445 8001340073334 12002010110001 13335566788890 20003350183335 24004020220002 40006700366670 60010050550005 120020101100010