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11497103319 = 3131967367631
BaseRepresentation
bin10101011010100011…
…11101111111010111
31002200020211100210110
422231101331333113
5142021224301234
65140502454103
7554623523442
oct125521757727
932606740713
1011497103319
11496a8a6989
12228a434333
131112c07120
147b0d10659
154745341e9
hex2ad47dfd7

11497103319 has 64 divisors (see below), whose sum is σ = 17712988160. Its totient is φ = 6574296960.

The previous prime is 11497103279. The next prime is 11497103323. The reversal of 11497103319 is 91330179411.

It is not a de Polignac number, because 11497103319 - 224 = 11480326103 is a prime.

It is a super-2 number, since 2×114971033192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11497103329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18220134 + ... + 18220764.

It is an arithmetic number, because the mean of its divisors is an integer number (276765440).

Almost surely, 211497103319 is an apocalyptic number.

11497103319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11497103319 is a deficient number, since it is larger than the sum of its proper divisors (6215884841).

11497103319 is a wasteful number, since it uses less digits than its factorization.

11497103319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 11497103319 in words is "eleven billion, four hundred ninety-seven million, one hundred three thousand, three hundred nineteen".

Divisors: 1 3 13 19 39 57 67 201 247 367 631 741 871 1101 1273 1893 2613 3819 4771 6973 8203 11989 14313 16549 20919 24589 24609 35967 42277 49647 73767 90649 126831 155857 231577 271947 319657 467191 467571 549601 694731 803263 958971 1401573 1648803 2409789 3010501 4399963 6073483 9031503 10442419 13199889 15515659 18220449 31327257 46546977 57199519 171598557 201703567 294797521 605110701 884392563 3832367773 11497103319