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213242321331 = 35131494491009
BaseRepresentation
bin1100011010011000111…
…0111001100110110011
3202101102020001022100000
43012212032321212303
511443210013240311
6241543455001043
721256225552554
oct3064616714663
9671366038300
10213242321331
1182487805216
12353b2509183
1317154975480
14a46cac832b
155830ce0056
hex31a63b99b3

213242321331 has 96 divisors (see below), whose sum is σ = 347419800000. Its totient is φ = 129926135808.

The previous prime is 213242321263. The next prime is 213242321339. The reversal of 213242321331 is 133123242312.

213242321331 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 2 + 321 + 331 = 666.

It is not a de Polignac number, because 213242321331 - 215 = 213242288563 is a prime.

It is a super-2 number, since 2×2132423213312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213242321295 and 213242321304.

It is not an unprimeable number, because it can be changed into a prime (213242321339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211339755 + ... + 211340763.

It is an arithmetic number, because the mean of its divisors is an integer number (3618956250).

Almost surely, 2213242321331 is an apocalyptic number.

213242321331 is a deficient number, since it is larger than the sum of its proper divisors (134177478669).

213242321331 is a wasteful number, since it uses less digits than its factorization.

213242321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1623 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 213242321331 its reverse (133123242312), we get a palindrome (346365563643).

The spelling of 213242321331 in words is "two hundred thirteen billion, two hundred forty-two million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 149 243 351 447 449 1009 1053 1341 1347 1937 3027 3159 4023 4041 5811 5837 9081 12069 12123 13117 17433 17511 27243 36207 36369 39351 52299 52533 66901 81729 109107 118053 150341 156897 157599 200703 245187 354159 451023 453041 470691 472797 602109 869713 1062477 1353069 1359123 1418391 1806327 1954433 2609139 3187431 4059207 4077369 5418981 5863299 5889533 7827417 12177621 12232107 16256943 17589897 17668599 23482251 36532863 36696321 52769691 53005797 67503109 70446753 110088963 158309073 159017391 202509327 211340259 474927219 477052173 607527981 877540417 1431156519 1822583943 2632621251 5467751829 7897863753 16403255487 23693591259 71080773777 213242321331