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420142122 = 23289262261
BaseRepresentation
bin11001000010101…
…101110000101010
31002021120102122100
4121002231300222
51330024021442
6105405034230
713261102101
oct3102556052
91067512570
10420142122
111a6182aa4
12b8855976
136907460a
143db29038
1526d4184c
hex190adc2a

420142122 has 24 divisors (see below), whose sum is σ = 920539620. Its totient is φ = 138473280.

The previous prime is 420142109. The next prime is 420142139. The reversal of 420142122 is 221241024.

It can be written as a sum of positive squares in 2 ways, for example, as 419471361 + 670761 = 20481^2 + 819^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420142095 and 420142104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 129529 + ... + 132732.

Almost surely, 2420142122 is an apocalyptic number.

420142122 is an abundant number, since it is smaller than the sum of its proper divisors (500397498).

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

420142122 is a wasteful number, since it uses less digits than its factorization.

420142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262358 (or 262355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420142122 is about 20497.3686603915. The cubic root of 420142122 is about 748.9717001101.

Adding to 420142122 its reverse (221241024), we get a palindrome (641383146).

The spelling of 420142122 in words is "four hundred twenty million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 262261 524522 786783 1573566 2360349 4720698 23341229 46682458 70023687 140047374 210071061 420142122