Search a number
-
+
120220203231220 = 22517353588833033
BaseRepresentation
bin11011010101011011110010…
…100000100010011111110100
3120202122221100200000012111211
4123111123302200202133310
5111224141434011344340
61103404222100211204
734215423464601001
oct3325336240423764
9522587320005454
10120220203231220
1135340113654014
1211597592999b04
13521094126c721
14219899041a8a8
15dd730b5dc5ea
hex6d56f28227f4

120220203231220 has 24 divisors (see below), whose sum is σ = 267313157773704. Its totient is φ = 45259370628096.

The previous prime is 120220203231127. The next prime is 120220203231223. The reversal of 120220203231220 is 22132302022021.

120220203231220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46849397894244 + 73370805336976 = 6844662^2 + 8565676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120220203231191 and 120220203231200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220203231223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176794416177 + ... + 176794416856.

It is an arithmetic number, because the mean of its divisors is an integer number (11138048240571).

Almost surely, 2120220203231220 is an apocalyptic number.

120220203231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220203231220 is an abundant number, since it is smaller than the sum of its proper divisors (147092954542484).

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

120220203231220 is a wasteful number, since it uses less digits than its factorization.

120220203231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353588833059 (or 353588833057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 120220203231220 its reverse (22132302022021), we get a palindrome (142352505253241).

The spelling of 120220203231220 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 353588833033 707177666066 1414355332132 1767944165165 3535888330330 6011010161561 7071776660660 12022020323122 24044040646244 30055050807805 60110101615610 120220203231220