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42200220331 = 8910318892437
BaseRepresentation
bin100111010011010101…
…000100001010101011
311000221000011022101101
4213103111010022223
51142411224022311
631215253102231
73022521645223
oct472325041253
9130830138341
1042200220331
1116995a19155
128218927977
133c96b60299
1420848a5083
15116ec48ec1
hex9d35442ab

42200220331 has 16 divisors (see below), whose sum is σ = 43129195200. Its totient is φ = 41282131968.

The previous prime is 42200220311. The next prime is 42200220341. The reversal of 42200220331 is 13302200224.

It is a cyclic number.

It is not a de Polignac number, because 42200220331 - 217 = 42200089259 is a prime.

It is a super-2 number, since 2×422002203312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42200220299 and 42200220308.

It is not an unprimeable number, because it can be changed into a prime (42200220311) by changing a digit.

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, 17315245 + ... + 17317681.

It is an arithmetic number, because the mean of its divisors is an integer number (2695574700).

Almost surely, 242200220331 is an apocalyptic number.

42200220331 is a deficient number, since it is larger than the sum of its proper divisors (928974869).

42200220331 is a wasteful number, since it uses less digits than its factorization.

42200220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 42200220331 its reverse (13302200224), we get a palindrome (55502420555).

The spelling of 42200220331 in words is "forty-two billion, two hundred million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 89 103 1889 2437 9167 168121 194567 216893 251011 4603493 17316463 22339979 409710877 474159779 42200220331