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420042131 = 79113211223
BaseRepresentation
bin11001000010010…
…101010110010011
31002021101100110222
4121002111112103
51330012322011
6105402543255
713260204425
oct3102252623
91067340428
10420042131
111a6114963
12b8807b2b
136903ac52
143db00815
1526d21ddb
hex19095593

420042131 has 16 divisors (see below), whose sum is σ = 433090560. Its totient is φ = 407272320.

The previous prime is 420042127. The next prime is 420042193. The reversal of 420042131 is 131240024.

It is a cyclic number.

It is not a de Polignac number, because 420042131 - 22 = 420042127 is a prime.

It is a super-2 number, since 2×4200421312 = 352870783630042322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883486 + ... + 1883708.

It is an arithmetic number, because the mean of its divisors is an integer number (27068160).

Almost surely, 2420042131 is an apocalyptic number.

420042131 is a deficient number, since it is larger than the sum of its proper divisors (13048429).

420042131 is a wasteful number, since it uses less digits than its factorization.

420042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420042131 is about 20494.9293972924. The cubic root of 420042131 is about 748.9122786531.

Adding to 420042131 its reverse (131240024), we get a palindrome (551282155).

The spelling of 420042131 in words is "four hundred twenty million, forty-two thousand, one hundred thirty-one".

Divisors: 1 79 113 211 223 8927 16669 17617 23843 25199 47053 1883597 1990721 3717187 5316989 420042131