Search a number
-
+
322130330112 = 293449467083
BaseRepresentation
bin1001011000000000111…
…01101100001000000000
31010210110211001021112010
410230000131230020000
520234210331030422
6403552402532520
732162455425243
oct4540035541000
91123424037463
10322130330112
1111468419a918
1252520967140
13244b89836b6
141183c32b25a
1585a5483b0c
hex4b0076c200

322130330112 has 80 divisors (see below), whose sum is σ = 860088477600. Its totient is φ = 107137400832.

The previous prime is 322130330089. The next prime is 322130330129. The reversal of 322130330112 is 211033031223.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456123 + ... + 923205.

It is an arithmetic number, because the mean of its divisors is an integer number (10751105970).

Almost surely, 2322130330112 is an apocalyptic number.

322130330112 is a gapful number since it is divisible by the number (32) 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 322130330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430044238800).

322130330112 is an abundant number, since it is smaller than the sum of its proper divisors (537958147488).

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

322130330112 is an equidigital number, since it uses as much as digits as its factorization.

322130330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467553 (or 467537 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 322130330112 its reverse (211033031223), we get a palindrome (533163361335).

The spelling of 322130330112 in words is "three hundred twenty-two billion, one hundred thirty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 449 512 768 898 1347 1536 1796 2694 3592 5388 7184 10776 14368 21552 28736 43104 57472 86208 114944 172416 229888 344832 467083 689664 934166 1401249 1868332 2802498 3736664 5604996 7473328 11209992 14946656 22419984 29893312 44839968 59786624 89679936 119573248 179359872 209720267 239146496 358719744 419440534 629160801 717439488 838881068 1258321602 1677762136 2516643204 3355524272 5033286408 6711048544 10066572816 13422097088 20133145632 26844194176 40266291264 53688388352 80532582528 107376776704 161065165056 322130330112