Search a number
-
+
120100002020 = 22529207068969
BaseRepresentation
bin110111111011010000…
…1001001100011100100
3102110222222100020110222
41233312201021203210
53431431100031040
6131101223503512
711451122113325
oct1576641114344
9373888306428
10120100002020
1146a30358119
121b3392b7b98
13b42cb2ba6b
145b5473844c
1531cdb5abb5
hex1bf68498e4

120100002020 has 24 divisors (see below), whose sum is σ = 260906902200. Its totient is φ = 46383448832.

The previous prime is 120100002019. The next prime is 120100002053. The reversal of 120100002020 is 20200001021.

It can be written as a sum of positive squares in 4 ways, for example, as 22505536 + 120077496484 = 4744^2 + 346522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120100001989 and 120100002007.

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 7 ways as a sum of consecutive naturals, for example, 103533905 + ... + 103535064.

It is an arithmetic number, because the mean of its divisors is an integer number (10871120925).

Almost surely, 2120100002020 is an apocalyptic number.

120100002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100002020 is an abundant number, since it is smaller than the sum of its proper divisors (140806900180).

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

120100002020 is a wasteful number, since it uses less digits than its factorization.

120100002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207069007 (or 207069005 counting only the distinct ones).

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

Adding to 120100002020 its reverse (20200001021), we get a palindrome (140300003041).

Subtracting from 120100002020 its reverse (20200001021), we obtain a palindrome (99900000999).

The spelling of 120100002020 in words is "one hundred twenty billion, one hundred million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 207068969 414137938 828275876 1035344845 2070689690 4141379380 6005000101 12010000202 24020000404 30025000505 60050001010 120100002020