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42412220031 = 34128410117
BaseRepresentation
bin100111011111111101…
…110001111001111111
311001110210002000022010
4213133331301321333
51143330012020111
631252305022303
73031004631156
oct473775617177
9131423060263
1042412220031
1116a94657715
128277924993
133ccba593ac
1420a4acc59d
151183673aa6
hex9dff71e7f

42412220031 has 12 divisors (see below), whose sum is σ = 57962533256. Its totient is φ = 27585180480.

The previous prime is 42412220023. The next prime is 42412220077. The reversal of 42412220031 is 13002221424.

It is not a de Polignac number, because 42412220031 - 23 = 42412220023 is a prime.

It is a super-2 number, since 2×424122200312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412210031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4200016 + ... + 4210101.

Almost surely, 242412220031 is an apocalyptic number.

42412220031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42412220031 is a deficient number, since it is larger than the sum of its proper divisors (15550313225).

42412220031 is an equidigital number, since it uses as much as digits as its factorization.

42412220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410202 (or 8410161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42412220031 its reverse (13002221424), we get a palindrome (55414441455).

It can be divided in two parts, 424122 and 20031, that added together give a triangular number (444153 = T942).

The spelling of 42412220031 in words is "forty-two billion, four hundred twelve million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 41 123 1681 5043 8410117 25230351 344814797 1034444391 14137406677 42412220031