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1301321040032 = 251320269154333
BaseRepresentation
bin10010111011111100110…
…001110100000010100000
311121101221022010020110202
4102323330301310002200
5132310101141240112
62433452454044332
7163005643222136
oct22737461640240
94541838106422
101301321040032
11461983890112
121902559496a8
13959389bb030
1446dacbc5756
1523cb4dbe6c2
hex12efcc740a0

1301321040032 has 48 divisors (see below), whose sum is σ = 2759204858760. Its totient is φ = 600576187392.

The previous prime is 1301321039989. The next prime is 1301321040049. The reversal of 1301321040032 is 2300401231031.

It can be written as a sum of positive squares in 4 ways, for example, as 1167186372496 + 134134667536 = 1080364^2 + 366244^2 .

It is a super-2 number, since 2×13013210400322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301321039986 and 1301321040013.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8354738 + ... + 8509070.

Almost surely, 21301321040032 is an apocalyptic number.

It is an amenable number.

1301321040032 is an abundant number, since it is smaller than the sum of its proper divisors (1457883818728).

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

1301321040032 is a wasteful number, since it uses less digits than its factorization.

1301321040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174625 (or 174617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1301321040032 its reverse (2300401231031), we get a palindrome (3601722271063).

The spelling of 1301321040032 in words is "one trillion, three hundred one billion, three hundred twenty-one million, forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 20269 40538 81076 154333 162152 263497 308666 324304 526994 617332 648608 1053988 1234664 2006329 2107976 2469328 4012658 4215952 4938656 8025316 8431904 16050632 32101264 64202528 3128175577 6256351154 12512702308 25025404616 40666282501 50050809232 81332565002 100101618464 162665130004 325330260008 650660520016 1301321040032