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1330103222133 = 37210189587339
BaseRepresentation
bin10011010110110000010…
…101000111111101110101
311201011020011212120202020
4103112300111013331311
5133243022411102013
62455012504103353
7165045124562400
oct23266025077565
94634204776666
101330103222133
11473103658574
12195948a64b59
139857499080a
144853d5c2d37
15248ebb3d623
hex135b0547f75

1330103222133 has 24 divisors (see below), whose sum is σ = 2083443179040. Its totient is φ = 752533639200.

The previous prime is 1330103222111. The next prime is 1330103222209. The reversal of 1330103222133 is 3312223010331.

It is not a de Polignac number, because 1330103222133 - 25 = 1330103222101 is a prime.

It is a super-3 number, since 3×13301032221333 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330103222333) 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 23 ways as a sum of consecutive naturals, for example, 44778823 + ... + 44808516.

It is an arithmetic number, because the mean of its divisors is an integer number (86810132460).

Almost surely, 21330103222133 is an apocalyptic number.

It is an amenable number.

1330103222133 is a deficient number, since it is larger than the sum of its proper divisors (753339956907).

1330103222133 is a wasteful number, since it uses less digits than its factorization.

1330103222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89587457 (or 89587450 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1330103222133 its reverse (3312223010331), we get a palindrome (4642326232464).

The spelling of 1330103222133 in words is "one trillion, three hundred thirty billion, one hundred three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 49 101 147 303 707 2121 4949 14847 89587339 268762017 627111373 1881334119 4389779611 9048321239 13169338833 27144963717 63338248673 190014746019 443367740711 1330103222133