Search a number
-
+
420111133 = 13415031567
BaseRepresentation
bin11001000010100…
…110001100011101
31002021111212010121
4121002212030131
51330022024013
6105404234541
713260612541
oct3102461435
91067455117
10420111133
111a6161792
12b883ba51
1369063490
143db1ba21
1526d3758d
hex190a631d

420111133 has 16 divisors (see below), whose sum is σ = 464679936. Its totient is φ = 377343360.

The previous prime is 420111127. The next prime is 420111137. The reversal of 420111133 is 331111024.

It is a cyclic number.

It is not a de Polignac number, because 420111133 - 213 = 420102941 is a prime.

It is a super-3 number, since 3×4201111333 (a number of 27 digits) contains 333 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 (420111137) 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 15 ways as a sum of consecutive naturals, for example, 267316 + ... + 268882.

It is an arithmetic number, because the mean of its divisors is an integer number (29042496).

Almost surely, 2420111133 is an apocalyptic number.

It is an amenable number.

420111133 is a deficient number, since it is larger than the sum of its proper divisors (44568803).

420111133 is a wasteful number, since it uses less digits than its factorization.

420111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 420111133 is about 20496.6127201545. The cubic root of 420111133 is about 748.9532853456.

Adding to 420111133 its reverse (331111024), we get a palindrome (751222157).

The spelling of 420111133 in words is "four hundred twenty million, one hundred eleven thousand, one hundred thirty-three".

Divisors: 1 13 41 503 533 1567 6539 20371 20623 64247 268099 788201 835211 10246613 32316241 420111133