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11819408133 = 31310916716649
BaseRepresentation
bin10110000000111110…
…11101101100000101
31010111201022010212210
423000133131230011
5143201232030013
65232454534033
7565616211561
oct130037355405
933451263783
1011819408133
1150158252a5
12235a367319
131164914430
14801a4c6a1
1549299bcc3
hex2c07ddb05

11819408133 has 32 divisors (see below), whose sum is σ = 17230752000. Its totient is φ = 7163168256.

The previous prime is 11819408123. The next prime is 11819408137. The reversal of 11819408133 is 33180491811.

11819408133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11819408133 - 213 = 11819399941 is a prime.

It is a super-2 number, since 2×118194081332 (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 junction number, because it is equal to n+sod(n) for n = 11819408091 and 11819408100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11819408137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701593 + ... + 718241.

It is an arithmetic number, because the mean of its divisors is an integer number (538461000).

Almost surely, 211819408133 is an apocalyptic number.

11819408133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11819408133 is a deficient number, since it is larger than the sum of its proper divisors (5411343867).

11819408133 is a wasteful number, since it uses less digits than its factorization.

11819408133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941.

The product of its (nonzero) digits is 20736, while the sum is 39.

Adding to 11819408133 its reverse (33180491811), we get a palindrome (44999899944).

The spelling of 11819408133 in words is "eleven billion, eight hundred nineteen million, four hundred eight thousand, one hundred thirty-three".

Divisors: 1 3 13 39 109 167 327 501 1417 2171 4251 6513 16649 18203 49947 54609 216437 236639 649311 709917 1814741 2780383 5444223 8341149 23591633 36144979 70774899 108434937 303061747 909185241 3939802711 11819408133