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2042242022420 = 225102112101121
BaseRepresentation
bin11101101101111111000…
…111000011110000010100
321020020101100122221000222
4131231333013003300110
5231430002424204140
64202105410053512
7300355442525255
oct35557707036024
97206340587028
102042242022420
11718123420516
1228b97287a298
1311a775c6c502
1470bb8b16b2c
15381cb7325b5
hex1db7f1c3c14

2042242022420 has 12 divisors (see below), whose sum is σ = 4288708247124. Its totient is φ = 816896808960.

The previous prime is 2042242022413. The next prime is 2042242022423. The reversal of 2042242022420 is 242202422402.

It can be written as a sum of positive squares in 2 ways, for example, as 549549411856 + 1492692610564 = 741316^2 + 1221758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2042242022420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042242022423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51056050541 + ... + 51056050580.

It is an arithmetic number, because the mean of its divisors is an integer number (357392353927).

Almost surely, 22042242022420 is an apocalyptic number.

2042242022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042242022420 is an abundant number, since it is smaller than the sum of its proper divisors (2246466224704).

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

2042242022420 is a wasteful number, since it uses less digits than its factorization.

2042242022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102112101130 (or 102112101128 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2042242022420 its reverse (242202422402), we get a palindrome (2284444444822).

The spelling of 2042242022420 in words is "two trillion, forty-two billion, two hundred forty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 102112101121 204224202242 408448404484 510560505605 1021121011210 2042242022420