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320241241012 = 2271137129121767
BaseRepresentation
bin1001010100011111101…
…11011000101110110100
31010121121011101121110011
410222033313120232310
520221323224203022
6403041121110004
732064606430660
oct4521767305664
91117534347404
10320241241012
111138a4917260
1252094188304
13242774a01b4
14116dd4a38a0
1584e46cd977
hex4a8fdd8bb4

320241241012 has 96 divisors (see below), whose sum is σ = 718181001216. Its totient is φ = 121297564800.

The previous prime is 320241241007. The next prime is 320241241063. The reversal of 320241241012 is 210142142023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14701353 + ... + 14723119.

It is an arithmetic number, because the mean of its divisors is an integer number (7481052096).

Almost surely, 2320241241012 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 320241241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359090500608).

320241241012 is an abundant number, since it is smaller than the sum of its proper divisors (397939760204).

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

320241241012 is a wasteful number, since it uses less digits than its factorization.

320241241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23115 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 320241241012 its reverse (210142142023), we get a palindrome (530383383035).

It can be divided in two parts, 3202 and 41241012, that added together give a palindrome (41244214).

The spelling of 320241241012 in words is "three hundred twenty billion, two hundred forty-one million, two hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1291 1628 2582 2849 5164 5698 9037 11396 14201 18074 21767 28402 36148 43534 47767 56804 87068 95534 99407 152369 191068 198814 239437 304738 334369 397628 478874 525437 609476 668738 805379 957748 1050874 1337476 1610758 1676059 2101748 3221516 3352118 3678059 5637653 6704236 7356118 8859169 11275306 14712236 17718338 22550612 28101197 35436676 56202394 62014183 112404788 124028366 196708379 248056732 309113167 393416758 618226334 786833516 1039744289 1236452668 2079488578 2163792169 4158977156 4327584338 7278210023 8655168676 11437187179 14556420046 22874374358 29112840092 45748748716 80060310253 160120620506 320241241012