Search a number
-
+
12300014420133 = 3111973392368501
BaseRepresentation
bin1011001011111101000111…
…1111011000000010100101
31121112212111011010202020120
42302333101333120002211
53103010412142421013
642054314300152153
72406434552344146
oct262772177300245
947485434122216
1012300014420133
113a12452530170
1214679a9b38659
136b2b6a4c9bcb
143074769d5acd
15164e419cc123
hexb2fd1fd80a5

12300014420133 has 64 divisors (see below), whose sum is σ = 19095683281920. Its totient is φ = 6963589440000.

The previous prime is 12300014420129. The next prime is 12300014420147. The reversal of 12300014420133 is 33102441000321.

It is a happy number.

It is not a de Polignac number, because 12300014420133 - 22 = 12300014420129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300014420173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179525383 + ... + 179593883.

It is an arithmetic number, because the mean of its divisors is an integer number (298370051280).

Almost surely, 212300014420133 is an apocalyptic number.

It is an amenable number.

12300014420133 is a deficient number, since it is larger than the sum of its proper divisors (6795668861787).

12300014420133 is a wasteful number, since it uses less digits than its factorization.

12300014420133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72530.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12300014420133 its reverse (33102441000321), we get a palindrome (45402455420454).

The spelling of 12300014420133 in words is "twelve trillion, three hundred billion, fourteen million, four hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 57 73 209 219 627 803 1387 2409 3923 4161 11769 15257 43153 45771 68501 74537 129459 205503 223611 286379 753511 819907 859137 1301519 2260533 2459721 3150169 3904557 5000573 5441201 9450507 14316709 15001719 16323603 42950127 55006303 59853211 95010887 165018909 179559633 268729423 285032661 806188269 1045119757 2956023653 3135359271 5105859037 8868070959 15317577111 19617247879 56164449407 58851743637 168493348221 215789726669 372727709701 647369180007 1118183129103 4100004806711 12300014420133