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1303301201301 = 331138811130693
BaseRepresentation
bin10010111101110010110…
…011100001110110010101
311121121001022010212002000
4102331302303201312111
5132323130101420201
62434421151505513
7163106006266101
oct22756263416625
94547038125060
101303301201301
114627aa607630
12190708b28299
1395b9300a4a8
1447119b98901
1523d7db63d86
hex12f72ce1d95

1303301201301 has 32 divisors (see below), whose sum is σ = 2106889971840. Its totient is φ = 789675292800.

The previous prime is 1303301201287. The next prime is 1303301201351. The reversal of 1303301201301 is 1031021033031.

It is a happy number.

1303301201301 is a `hidden beast` number, since 1 + 30 + 330 + 1 + 2 + 0 + 1 + 301 = 666.

It is not a de Polignac number, because 1303301201301 - 222 = 1303297006997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303301201351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587311 + ... + 1718003.

It is an arithmetic number, because the mean of its divisors is an integer number (65840311620).

Almost surely, 21303301201301 is an apocalyptic number.

1303301201301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1303301201301 is a deficient number, since it is larger than the sum of its proper divisors (803588770539).

1303301201301 is a wasteful number, since it uses less digits than its factorization.

1303301201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134594 (or 1134588 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1303301201301 its reverse (1031021033031), we get a palindrome (2334322234332).

The spelling of 1303301201301 in words is "one trillion, three hundred three billion, three hundred one million, two hundred one thousand, three hundred one".

Divisors: 1 3 9 11 27 33 99 297 3881 11643 34929 42691 104787 128073 384219 1130693 1152657 3392079 10176237 12437623 30528711 37312869 111938607 335815821 4388219533 13164658599 39493975797 48270414863 118481927391 144811244589 434433733767 1303301201301