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11006453304363 = 311353163319069
BaseRepresentation
bin1010000000101010001110…
…1111010100110000101011
31102222012120122200111200010
42200022203233110300223
52420312204021214423
635224143404143003
72214122113312626
oct240124357246053
942865518614603
1011006453304363
1135638a0a53000
12129915ab37a63
1361ab9a3a584a
142a0a02662dbd
15141482ed4693
hexa02a3bd4c2b

11006453304363 has 64 divisors (see below), whose sum is σ = 16547205035520. Its totient is φ = 6504545773440.

The previous prime is 11006453304227. The next prime is 11006453304409. The reversal of 11006453304363 is 36340335460011.

It is a happy number.

It is not a de Polignac number, because 11006453304363 - 213 = 11006453296171 is a prime.

It is a super-2 number, since 2×110064533043632 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006453304163) 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, 34335993 + ... + 34655061.

It is an arithmetic number, because the mean of its divisors is an integer number (258550078680).

Almost surely, 211006453304363 is an apocalyptic number.

11006453304363 is a deficient number, since it is larger than the sum of its proper divisors (5540751731157).

11006453304363 is a wasteful number, since it uses less digits than its factorization.

11006453304363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319321 (or 319299 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

Adding to 11006453304363 its reverse (36340335460011), we get a palindrome (47346788764374).

The spelling of 11006453304363 in words is "eleven trillion, six billion, four hundred fifty-three million, three hundred four thousand, three hundred sixty-three".

Divisors: 1 3 11 33 53 121 159 163 363 489 583 1331 1749 1793 3993 5379 6413 8639 19239 19723 25917 59169 70543 95029 211629 216953 285087 319069 650859 957207 1045319 3135957 3509759 10529277 11498509 16910657 34495527 38607349 50731971 52008247 115822047 156024741 186017227 424680839 558051681 572090717 1274042517 1716272151 2046189497 2756437091 6138568491 6292997887 8269311273 18878993661 22508084467 30320808001 67524253401 69222976757 90962424003 207668930271 333528888011 1000586664033 3668817768121 11006453304363