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420213123 = 33111783227
BaseRepresentation
bin11001000010111…
…111000110000011
31002021201001001000
4121002333012003
51330033304443
6105410343043
713261516101
oct3102770603
91067631030
10420213123
111a6221380
12b888aa83
136909aa25
143db46c71
1526d578d3
hex190bf183

420213123 has 32 divisors (see below), whose sum is σ = 719089920. Its totient is φ = 239690880.

The previous prime is 420213121. The next prime is 420213127. The reversal of 420213123 is 321312024.

It is not a de Polignac number, because 420213123 - 21 = 420213121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420213096 and 420213105.

It is not an unprimeable number, because it can be changed into a prime (420213121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36565 + ... + 46662.

It is an arithmetic number, because the mean of its divisors is an integer number (22471560).

Almost surely, 2420213123 is an apocalyptic number.

420213123 is a deficient number, since it is larger than the sum of its proper divisors (298876797).

420213123 is a wasteful number, since it uses less digits than its factorization.

420213123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83264 (or 83258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420213123 is about 20499.1005412433. The cubic root of 420213123 is about 749.0138880124.

Adding to 420213123 its reverse (321312024), we get a palindrome (741525147).

The spelling of 420213123 in words is "four hundred twenty million, two hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 83227 249681 749043 915497 1414859 2247129 2746491 4244577 8239473 12733731 15563449 24718419 38201193 46690347 140071041 420213123