Search a number
-
+
199998899991 = 321124127116529
BaseRepresentation
bin1011101001000011011…
…1010000011100010111
3201010020021012210120100
42322100313100130113
511234044204244431
6231513410305143
720310105412662
oct2722067203427
9633207183510
10199998899991
117790118a800
12329172881b3
1315b24025597
149973cb66d9
1553083084e6
hex2e90dd0717

199998899991 has 72 divisors (see below), whose sum is σ = 326502146880. Its totient is φ = 117811584000.

The previous prime is 199998899963. The next prime is 199998900001.

199998899991 is nontrivially palindromic in base 10.

199998899991 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 199998899991 - 29 = 199998899479 is a prime.

It is a super-2 number, since 2×1999988999912 (a number of 23 digits) contains 22 as substring.

199998899991 is a modest number, since divided by 899991 gives 199998 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199998899911) 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 71 ways as a sum of consecutive naturals, for example, 12091615 + ... + 12108143.

It is an arithmetic number, because the mean of its divisors is an integer number (4534752040).

Almost surely, 2199998899991 is an apocalyptic number.

199998899991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

199998899991 is a deficient number, since it is larger than the sum of its proper divisors (126503246889).

199998899991 is a wasteful number, since it uses less digits than its factorization.

199998899991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869 (or 16855 counting only the distinct ones).

The product of its digits is 2754990144, while the sum is 90.

The spelling of 199998899991 in words is "one hundred ninety-nine billion, nine hundred ninety-eight million, eight hundred ninety-nine thousand, nine hundred ninety-one".

Divisors: 1 3 9 11 33 41 99 121 123 271 363 369 451 813 1089 1353 2439 2981 4059 4961 8943 11111 14883 16529 26829 32791 33333 44649 49587 98373 99999 122221 148761 181819 295119 366663 545457 677689 1099989 1344431 1636371 2000009 2033067 4033293 4479359 6000027 6099201 7454579 12099879 13438077 18000081 22363737 40314231 49272949 67091211 82000369 147818847 183653719 246001107 443456541 542002439 550961157 738003321 1626007317 1652883471 2020190909 4878021951 6060572727 18181718181 22222099999 66666299997 199998899991