Search a number
-
+
312232232213 = 11291496569023
BaseRepresentation
bin1001000101100100111…
…11011100010100010101
31002211221000000210210122
410202302133130110111
520103422422412323
6355234300201325
731362256120046
oct4426237342425
91084830023718
10312232232213
11110464a56420
1250619b39245
132359c124735
141117d9328cd
1581c6503ec8
hex48b27dc515

312232232213 has 16 divisors (see below), whose sum is σ = 354727296000. Its totient is φ = 272220271680.

The previous prime is 312232232203. The next prime is 312232232219.

312232232213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312232232213 - 226 = 312165123349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232232219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3236981 + ... + 3332042.

It is an arithmetic number, because the mean of its divisors is an integer number (22170456000).

Almost surely, 2312232232213 is an apocalyptic number.

It is an amenable number.

312232232213 is a deficient number, since it is larger than the sum of its proper divisors (42495063787).

312232232213 is a wasteful number, since it uses less digits than its factorization.

312232232213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569212.

The product of its digits is 5184, while the sum is 26.

It can be divided in two parts, 312232 and 232213, that added together give a palindrome (544445).

The spelling of 312232232213 in words is "three hundred twelve billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 11 29 149 319 1639 4321 47531 6569023 72259253 190501667 978784427 2095518337 10766628697 28384748383 312232232213