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530253221124 = 2231131393713697
BaseRepresentation
bin1111011011101011000…
…11100000110100000100
31212200200020222120200210
413231311203200310010
532141424311033444
61043332302435420
753211112004244
oct7556543406404
91780606876623
10530253221124
11194974135290
1286924892b70
133b005b12753
141b943145b24
15dbd6aca7b9
hex7b758e0d04

530253221124 has 96 divisors (see below), whose sum is σ = 1355591776896. Its totient is φ = 159986810880.

The previous prime is 530253221123. The next prime is 530253221131. The reversal of 530253221124 is 421122352035.

It is a junction number, because it is equal to n+sod(n) for n = 530253221091 and 530253221100.

It is not an unprimeable number, because it can be changed into a prime (530253221123) 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, 38706244 + ... + 38719940.

It is an arithmetic number, because the mean of its divisors is an integer number (14120747676).

Almost surely, 2530253221124 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 530253221124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677795888448).

530253221124 is an abundant number, since it is smaller than the sum of its proper divisors (825338555772).

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

530253221124 is a wasteful number, since it uses less digits than its factorization.

530253221124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14965 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 530253221124 its reverse (421122352035), we get a palindrome (951375573159).

The spelling of 530253221124 in words is "five hundred thirty billion, two hundred fifty-three million, two hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 626 937 939 1252 1874 1878 2811 3443 3748 3756 5622 6886 10307 10329 11244 13697 13772 20614 20658 27394 30921 41091 41228 41316 54788 61842 82182 123684 150667 164364 293281 301334 452001 586562 602668 879843 904002 1173124 1759686 1808004 3226091 3519372 4287161 6452182 8574322 9678273 12834089 12861483 12904364 17148644 19356546 25668178 25722966 38502267 38713092 47158771 51336356 51445932 77004534 94317542 141174979 141476313 154009068 188635084 282349958 282952626 423524937 564699916 565905252 847049874 1694099748 4017069857 8034139714 12051209571 16068279428 24102419142 44187768427 48204838284 88375536854 132563305281 176751073708 265126610562 530253221124