Search a number
-
+
11430897401 = 7111937474493
BaseRepresentation
bin10101010010101010…
…11010011011111001
31002111122020202100102
422221111122123321
5141402302204101
65130135445145
7553161011330
oct125125323371
932448222312
1011430897401
114936497450
1222702267b5
131102296521
147a61d8d17
1546d80786b
hex2a955a6f9

11430897401 has 64 divisors (see below), whose sum is σ = 15738347520. Its totient is φ = 8033852160.

The previous prime is 11430897383. The next prime is 11430897431. The reversal of 11430897401 is 10479803411.

It is a cyclic number.

It is not a de Polignac number, because 11430897401 - 214 = 11430881017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11430897431) 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 63 ways as a sum of consecutive naturals, for example, 2541911 + ... + 2546403.

It is an arithmetic number, because the mean of its divisors is an integer number (245911680).

Almost surely, 211430897401 is an apocalyptic number.

11430897401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11430897401 is a deficient number, since it is larger than the sum of its proper divisors (4307450119).

11430897401 is a wasteful number, since it uses less digits than its factorization.

11430897401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614.

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 11430897401 in words is "eleven billion, four hundred thirty million, eight hundred ninety-seven thousand, four hundred one".

Divisors: 1 7 11 19 37 47 77 133 209 259 329 407 517 703 893 1463 1739 2849 3619 4493 4921 6251 7733 9823 12173 19129 31451 33041 49423 54131 68761 85367 133903 166241 211171 231287 345961 363451 597569 939037 1163687 1478197 1828651 2322881 2544157 3158579 4012249 6573259 7813327 12800557 16260167 22110053 28085743 34744369 44134739 54693289 85946597 148453213 243210583 308943173 601626179 1039172491 1632985343 11430897401