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213243323412 = 223723349316259
BaseRepresentation
bin1100011010011001001…
…0101110010000010100
3202101102021221012221010
43012212102232100110
511443210242322122
6241543532252220
721256240225230
oct3064622562024
9671367835833
10213243323412
118248832a089
12353b2911070
1317154c36612
14a46cca95c0
155830e3be0c
hex31a64ae414

213243323412 has 96 divisors (see below), whose sum is σ = 595074816000. Its totient is φ = 58110509952.

The previous prime is 213243323393. The next prime is 213243323413. The reversal of 213243323412 is 214323342312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213243323412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213243323413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516139 + ... + 832397.

It is an arithmetic number, because the mean of its divisors is an integer number (6198696000).

Almost surely, 2213243323412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213243323412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297537408000).

213243323412 is an abundant number, since it is smaller than the sum of its proper divisors (381831492588).

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

213243323412 is a wasteful number, since it uses less digits than its factorization.

213243323412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316645 (or 316643 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 213243323412 its reverse (214323342312), we get a palindrome (427566665724).

The spelling of 213243323412 in words is "two hundred thirteen billion, two hundred forty-three million, three hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 349 483 644 698 966 1047 1396 1932 2094 2443 4188 4886 7329 8027 9772 14658 16054 24081 29316 32108 48162 56189 96324 112378 168567 224756 316259 337134 632518 674268 948777 1265036 1897554 2213813 3795108 4427626 6641439 7273957 8855252 13282878 14547914 21821871 26565756 29095828 43643742 50917699 87287484 101835398 110374391 152753097 203670796 220748782 305506194 331123173 441497564 611012388 662246346 772620737 1324492692 1545241474 2317862211 2538610993 3090482948 4635724422 5077221986 7615832979 9271448844 10154443972 15231665958 17770276951 30463331916 35540553902 53310830853 71081107804 106621661706 213243323412