Search a number
-
+
1203200302301 = 71215712291237
BaseRepresentation
bin10001100000100100010…
…100111001110011011101
311021000200002122022102022
4101200210110321303131
5124203123234133201
62320424222105525
7152633265552314
oct21404424716335
94230602568368
101203200302301
11424302226628
1217523141b2a5
13895cc630cca
144234159127b
1521470b4841b
hex11824539cdd

1203200302301 has 24 divisors (see below), whose sum is σ = 1230151599960. Its totient is φ = 1176786898560.

The previous prime is 1203200302253. The next prime is 1203200302327. The reversal of 1203200302301 is 1032030023021.

It can be written as a sum of positive squares in 4 ways, for example, as 565765726276 + 637434576025 = 752174^2 + 798395^2 .

It is a de Polignac number, because none of the positive numbers 2k-1203200302301 is a prime.

It is a super-3 number, since 3×12032003023013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1203200302301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203200302501) 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 23 ways as a sum of consecutive naturals, for example, 972675455 + ... + 972676691.

It is an arithmetic number, because the mean of its divisors is an integer number (51256316665).

Almost surely, 21203200302301 is an apocalyptic number.

It is an amenable number.

1203200302301 is a deficient number, since it is larger than the sum of its proper divisors (26951297659).

1203200302301 is a wasteful number, since it uses less digits than its factorization.

1203200302301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1203200302301 its reverse (1032030023021), we get a palindrome (2235230325322).

The spelling of 1203200302301 in words is "one trillion, two hundred three billion, two hundred million, three hundred two thousand, three hundred one".

Divisors: 1 71 157 1229 1237 5041 11147 87259 87827 192953 194209 791437 1520273 6195389 6235717 13699663 13788839 107939383 238682861 972676073 979007569 7663696193 16946483131 1203200302301