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213304134340 = 225111772137907
BaseRepresentation
bin1100011010100111101…
…0101100101011000100
3202101120112100201211201
43012221322230223010
511443321324244330
6241553543512244
721260606140453
oct3065172545304
9671515321751
10213304134340
1182509694250
123540b158684
131716470870b
14a476db8b9a
15583644eeca
hex31a9eacac4

213304134340 has 96 divisors (see below), whose sum is σ = 517542286464. Its totient is φ = 72983132160.

The previous prime is 213304134287. The next prime is 213304134343. The reversal of 213304134340 is 43431403312.

213304134340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213304134299 and 213304134308.

It is not an unprimeable number, because it can be changed into a prime (213304134343) 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 31 ways as a sum of consecutive naturals, for example, 26972667 + ... + 26980573.

It is an arithmetic number, because the mean of its divisors is an integer number (5391065484).

Almost surely, 2213304134340 is an apocalyptic number.

213304134340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213304134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258771143232).

213304134340 is an abundant number, since it is smaller than the sum of its proper divisors (304238152124).

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

213304134340 is a wasteful number, since it uses less digits than its factorization.

213304134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213304134340 its reverse (43431403312), we get a palindrome (256735537652).

The spelling of 213304134340 in words is "two hundred thirteen billion, three hundred four million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 7213 7907 14426 15814 28852 31628 36065 39535 72130 79070 79343 86977 122621 134419 144260 158140 158686 173954 245242 268838 317372 347908 396715 434885 490484 537676 613105 672095 793430 869770 1226210 1344190 1348831 1478609 1586860 1739540 2452420 2688380 2697662 2957218 5395324 5914436 6744155 7393045 13488310 14786090 26976620 29572180 57033191 114066382 228132764 285165955 570331910 627365101 969564247 1140663820 1254730202 1939128494 2509460404 3136825505 3878256988 4847821235 6273651010 9695642470 10665206717 12547302020 19391284940 21330413434 42660826868 53326033585 106652067170 213304134340