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14330202330213 = 32711173821914543
BaseRepresentation
bin1101000010001000001010…
…0111101001010001100101
31212201221202102212022202100
43100202002213221101211
53334241223244031323
650251112025002313
73006215526012660
oct320420247512145
955657672768670
1014330202330213
11462544a69a670
121735357923399
137cc442039763
1437782a8466d7
1519cb64d50943
hexd08829e9465

14330202330213 has 96 divisors (see below), whose sum is σ = 25960886415360. Its totient is φ = 7399821179520.

The previous prime is 14330202330211. The next prime is 14330202330239. The reversal of 14330202330213 is 31203320203341.

14330202330213 is a `hidden beast` number, since 1 + 4 + 3 + 302 + 0 + 2 + 330 + 21 + 3 = 666.

It is not a de Polignac number, because 14330202330213 - 21 = 14330202330211 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 (14330202330211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985360420 + ... + 985374962.

It is an arithmetic number, because the mean of its divisors is an integer number (270425900160).

Almost surely, 214330202330213 is an apocalyptic number.

It is an amenable number.

14330202330213 is a deficient number, since it is larger than the sum of its proper divisors (11630684085147).

14330202330213 is a wasteful number, since it uses less digits than its factorization.

14330202330213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22959 (or 22956 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 14330202330213 its reverse (31203320203341), we get a palindrome (45533522533554).

The spelling of 14330202330213 in words is "fourteen trillion, three hundred thirty billion, two hundred two million, three hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 173 231 519 693 1211 1557 1903 3633 5709 8219 10899 13321 14543 17127 24657 39963 43629 57533 73971 90409 101801 119889 130887 159973 172599 271227 305403 479919 517797 632863 813681 916209 1119811 1421887 1439757 1898589 2515939 3359433 4265661 5695767 7547817 9953209 10078299 12796983 15640757 17611573 22643451 27675329 29859627 46922271 52834719 83025987 89578881 109485299 119528917 140766813 158504157 193727303 249077961 328455897 358586751 581181909 836702419 985367691 1075760253 1314818087 1743545727 2510107257 3944454261 7530321771 9203726609 11833362783 20678502641 27611179827 62035507923 82833539481 144749518487 186106523769 227463529051 434248555461 682390587153 1302745666383 1592244703357 2047171761459 4776734110071 14330202330213