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420112141 = 9728115413
BaseRepresentation
bin11001000010100…
…110011100001101
31002021111220111221
4121002212130031
51330022042031
6105404243341
713260615511
oct3102463415
91067456457
10420112141
111a6162519
12b8840551
1369063a87
143db1c141
1526d37a11
hex190a670d

420112141 has 8 divisors (see below), whose sum is σ = 425981304. Its totient is φ = 414274560.

The previous prime is 420112123. The next prime is 420112163. The reversal of 420112141 is 141211024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 159289641 + 260822500 = 12621^2 + 16150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420112141 - 27 = 420112013 is a prime.

It is a super-2 number, since 2×4201121412 = 352988422031207762, which 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 (420112741) 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 7 ways as a sum of consecutive naturals, for example, 19551 + ... + 34963.

It is an arithmetic number, because the mean of its divisors is an integer number (53247663).

Almost surely, 2420112141 is an apocalyptic number.

It is an amenable number.

420112141 is a deficient number, since it is larger than the sum of its proper divisors (5869163).

420112141 is a wasteful number, since it uses less digits than its factorization.

420112141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 420112141 is about 20496.6373095686. The cubic root of 420112141 is about 748.9538843493.

Adding to 420112141 its reverse (141211024), we get a palindrome (561323165).

The spelling of 420112141 in words is "four hundred twenty million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 97 281 15413 27257 1495061 4331053 420112141