Search a number
-
+
213242242312 = 231114331691003
BaseRepresentation
bin1100011010011000111…
…0100110010100001000
3202101102012220021221101
43012212032212110020
511443210003223222
6241543453151144
721256225103311
oct3064616462410
9671365807841
10213242242312
1182487760910
12353b248b4b4
1317154948508
14a46caa7608
155830cc6927
hex31a63a6508

213242242312 has 32 divisors (see below), whose sum is σ = 436481952480. Its totient is φ = 96860594560.

The previous prime is 213242242163. The next prime is 213242242319.

213242242312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (213242242319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719398 + ... + 971605.

It is an arithmetic number, because the mean of its divisors is an integer number (13640061015).

Almost surely, 2213242242312 is an apocalyptic number.

213242242312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213242242312 is an abundant number, since it is smaller than the sum of its proper divisors (223239710168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213242242312 is a wasteful number, since it uses less digits than its factorization.

213242242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692453 (or 1692449 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 213242 and 242312, that added together give a palindrome (455554).

The spelling of 213242242312 in words is "two hundred thirteen billion, two hundred forty-two million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 1433 2866 5732 11464 15763 31526 63052 126104 1691003 3382006 6764012 13528024 18601033 37202066 74404132 148808264 2423207299 4846414598 9692829196 19385658392 26655280289 53310560578 106621121156 213242242312