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42213100401 = 3317325128289
BaseRepresentation
bin100111010100000110…
…001100101101110001
311000221220101200112000
4213110012030231301
51142423023203101
631220433124213
73023036301363
oct472406145561
9130856350460
1042213100401
11169a221613a
1282210b9669
133c9971ca24
142086498d33
151170e40486
hex9d418cb71

42213100401 has 32 divisors (see below), whose sum is σ = 66239337600. Its totient is φ = 26477568000.

The previous prime is 42213100361. The next prime is 42213100403. The reversal of 42213100401 is 10400131224.

42213100401 is a `hidden beast` number, since 42 + 213 + 10 + 0 + 401 = 666.

It is not a de Polignac number, because 42213100401 - 217 = 42212969329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42213100403) 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 31 ways as a sum of consecutive naturals, for example, 1478065 + ... + 1506353.

It is an arithmetic number, because the mean of its divisors is an integer number (2069979300).

Almost surely, 242213100401 is an apocalyptic number.

It is an amenable number.

42213100401 is a deficient number, since it is larger than the sum of its proper divisors (24026237199).

42213100401 is a wasteful number, since it uses less digits than its factorization.

42213100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31566 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42213100401 its reverse (10400131224), we get a palindrome (52613231625).

The spelling of 42213100401 in words is "forty-two billion, two hundred thirteen million, one hundred thousand, four hundred one".

Divisors: 1 3 9 17 27 51 153 459 3251 9753 28289 29259 55267 84867 87777 165801 254601 480913 497403 763803 1442739 1492209 4328217 12984651 91967539 275902617 827707851 1563448163 2483123553 4690344489 14071033467 42213100401