Search a number
-
+
420112333311 = 311671265315017
BaseRepresentation
bin1100001110100001010…
…01010111100111111111
31111011101100110202120120
412013100221113213333
523340342224131221
6520555201150023
742231526625166
oct6072051274777
91434340422516
10420112333311
11152194507070
126950692b313
1330802387398
141649536a3dd
15addc4535c6
hex61d0a579ff

420112333311 has 32 divisors (see below), whose sum is σ = 620283287808. Its totient is φ = 250776810240.

The previous prime is 420112333297. The next prime is 420112333321. The reversal of 420112333311 is 113333211024.

It is not a de Polignac number, because 420112333311 - 211 = 420112331263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420112333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27968275 + ... + 27983291.

It is an arithmetic number, because the mean of its divisors is an integer number (19383852744).

Almost surely, 2420112333311 is an apocalyptic number.

420112333311 is a deficient number, since it is larger than the sum of its proper divisors (200170954497).

420112333311 is a wasteful number, since it uses less digits than its factorization.

420112333311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27751.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 420112333311 its reverse (113333211024), we get a palindrome (533445544335).

The spelling of 420112333311 in words is "four hundred twenty billion, one hundred twelve million, three hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 11 33 67 201 737 2211 12653 15017 37959 45051 139183 165187 417549 495561 847751 1006139 2543253 3018417 9325261 11067529 27975783 33202587 190010101 570030303 2090111111 6270333333 12730676767 38192030301 140037444437 420112333311