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2022142121140 = 225294185035413
BaseRepresentation
bin11101011011010001000…
…100000001010010110100
321011022111120011010222211
4131123101010001102310
5231112321340334030
64144543111303204
7266044365300061
oct35332104012264
97138446133884
102022142121140
1170a649568159
12287aa337ab04
131188c1986cbb
146dc2d467c68
1537901d3112a
hex1d6d11014b4

2022142121140 has 48 divisors (see below), whose sum is σ = 4500074108880. Its totient is φ = 761917291520.

The previous prime is 2022142121137. The next prime is 2022142121171. The reversal of 2022142121140 is 411212412202.

It can be written as a sum of positive squares in 8 ways, for example, as 352945304464 + 1669196816676 = 594092^2 + 1291974^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42493927 + ... + 42541486.

It is an arithmetic number, because the mean of its divisors is an integer number (93751543935).

Almost surely, 22022142121140 is an apocalyptic number.

2022142121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022142121140 is an abundant number, since it is smaller than the sum of its proper divisors (2477931987740).

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

2022142121140 is a wasteful number, since it uses less digits than its factorization.

2022142121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85035492 (or 85035490 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2022142121140 its reverse (411212412202), we get a palindrome (2433354533342).

The spelling of 2022142121140 in words is "two trillion, twenty-two billion, one hundred forty-two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 5945 11890 23780 85035413 170070826 340141652 425177065 850354130 1700708260 2466026977 3486451933 4932053954 6972903866 9864107908 12330134885 13945807732 17432259665 24660269770 34864519330 49320539540 69729038660 101107106057 202214212114 404428424228 505535530285 1011071060570 2022142121140