Search a number
-
+
10200211333101 = 328335938035937
BaseRepresentation
bin1001010001101110101111…
…1110010001111111101101
31100010010112021011202211200
42110123223332101333231
52314110013100124401
633405525024440113
72101640513526636
oct224335376217755
940103467152750
1010200211333101
113282981418979
121188a52179039
1358cb5019c26a
1427399b30288d
1512a4e6c0e686
hex946ebf91fed

10200211333101 has 24 divisors (see below), whose sum is σ = 14952687946560. Its totient is φ = 6699497623296.

The previous prime is 10200211333061. The next prime is 10200211333127. The reversal of 10200211333101 is 10133311200201.

10200211333101 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 211 + 333 + 101 = 666.

It is not a de Polignac number, because 10200211333101 - 211 = 10200211331053 is a prime.

It is a super-2 number, since 2×102002113331012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200211333801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18749796 + ... + 19286141.

It is an arithmetic number, because the mean of its divisors is an integer number (623028664440).

Almost surely, 210200211333101 is an apocalyptic number.

It is an amenable number.

10200211333101 is a deficient number, since it is larger than the sum of its proper divisors (4752476613459).

10200211333101 is a wasteful number, since it uses less digits than its factorization.

10200211333101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38036385 (or 38036382 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10200211333101 its reverse (10133311200201), we get a palindrome (20333522533302).

The spelling of 10200211333101 in words is "ten trillion, two hundred billion, two hundred eleven million, three hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 83 249 359 747 1077 3231 29797 89391 268173 38035937 114107811 342323433 3156982771 9470948313 13654901383 28412844939 40964704149 122894112447 1133356814789 3400070444367 10200211333101