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420013311 = 3733475527
BaseRepresentation
bin11001000010001…
…110010011111111
31002021022212221120
4121002032103333
51330010411221
6105402202023
713260024414
oct3102162377
91067285846
10420013311
111a60a5243
12b87b3313
136902aab3
143dad410b
1526d185c6
hex1908e4ff

420013311 has 16 divisors (see below), whose sum is σ = 569428224. Its totient is φ = 275327424.

The previous prime is 420013309. The next prime is 420013313. The reversal of 420013311 is 113310024.

It is an interprime number because it is at equal distance from previous prime (420013309) and next prime (420013313).

It is not a de Polignac number, because 420013311 - 21 = 420013309 is a prime.

It is a super-2 number, since 2×4200133112 = 352822362834365442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420013313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73230 + ... + 78756.

It is an arithmetic number, because the mean of its divisors is an integer number (35589264).

Almost surely, 2420013311 is an apocalyptic number.

420013311 is a deficient number, since it is larger than the sum of its proper divisors (149414913).

420013311 is a wasteful number, since it uses less digits than its factorization.

420013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 420013311 is about 20494.2262844929. The cubic root of 420013311 is about 748.8951500970.

Adding to 420013311 its reverse (113310024), we get a palindrome (533323335).

The spelling of 420013311 in words is "four hundred twenty million, thirteen thousand, three hundred eleven".

Divisors: 1 3 73 219 347 1041 5527 16581 25331 75993 403471 1210413 1917869 5753607 140004437 420013311