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2142120220 = 225683156817
BaseRepresentation
bin111111110101110…
…0010100100011100
312112021202222111221
41333223202210130
513341340321340
6552321023124
7104040502312
oct17753424434
95467688457
102142120220
119aa197699
124b9484aa4
13281a47776
141646d20b2
15c80d744a
hex7fae291c

2142120220 has 24 divisors (see below), whose sum is σ = 4505067504. Its totient is φ = 855588096.

The previous prime is 2142120151. The next prime is 2142120221. The reversal of 2142120220 is 220212412.

It is a junction number, because it is equal to n+sod(n) for n = 2142120194 and 2142120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142120221) 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, 64749 + ... + 92068.

It is an arithmetic number, because the mean of its divisors is an integer number (187711146).

Almost surely, 22142120220 is an apocalyptic number.

2142120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142120220 is an abundant number, since it is smaller than the sum of its proper divisors (2362947284).

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

2142120220 is a wasteful number, since it uses less digits than its factorization.

2142120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157509 (or 157507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2142120220 is about 46283.0446275955. The cubic root of 2142120220 is about 1289.0841846304.

Adding to 2142120220 its reverse (220212412), we get a palindrome (2362332632).

The spelling of 2142120220 in words is "two billion, one hundred forty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 683 1366 2732 3415 6830 13660 156817 313634 627268 784085 1568170 3136340 107106011 214212022 428424044 535530055 1071060110 2142120220