Search a number
-
+
3303144203213 = 17283331541769
BaseRepresentation
bin110000000100010010101…
…111001010001111001101
3102200202222210120101011002
4300010102233022033031
5413104314404000323
611005235443510045
7460433664316601
oct60042257121715
912622883511132
103303144203213
111063945876428
12454208388325
131ac63cb9258a
14b5c3185b501
155adc7e7d828
hex30112bca3cd

3303144203213 has 48 divisors (see below), whose sum is σ = 3573104821440. Its totient is φ = 3052471910400.

The previous prime is 3303144203167. The next prime is 3303144203263. The reversal of 3303144203213 is 3123024413033.

It is not a de Polignac number, because 3303144203213 - 214 = 3303144186829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303144203263) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4295375693 + ... + 4295376461.

It is an arithmetic number, because the mean of its divisors is an integer number (74439683780).

Almost surely, 23303144203213 is an apocalyptic number.

It is an amenable number.

3303144203213 is a deficient number, since it is larger than the sum of its proper divisors (269960618227).

3303144203213 is a wasteful number, since it uses less digits than its factorization.

3303144203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 3303144203213 its reverse (3123024413033), we get a palindrome (6426168616246).

The spelling of 3303144203213 in words is "three trillion, three hundred three billion, one hundred forty-four million, two hundred three thousand, two hundred thirteen".

Divisors: 1 17 83 289 331 541 769 1411 5627 9197 13073 23987 27473 44903 63827 95659 156349 179071 222241 254539 416029 467041 763351 1085059 3044207 4327163 7072493 7939697 12976967 14862893 18446003 21126737 34530407 51751519 73561771 120232381 137705599 252669181 359154529 587016919 2340995183 4295376077 6105626993 9979287623 11429564717 39796918111 194302600189 3303144203213