Search a number
-
+
83111011137 = 327111734331601
BaseRepresentation
bin100110101100111001…
…1010110001101000001
321221112011000210222200
41031121303112031001
52330202404324022
6102103005223413
76001365636630
oct1153163261501
9257464023880
1083111011137
1132279aa9870
1214135861b69
137ab68169cb
144045ddb517
15226668ebac
hex1359cd6341

83111011137 has 96 divisors (see below), whose sum is σ = 150978836736. Its totient is φ = 42799104000.

The previous prime is 83111011099. The next prime is 83111011141. The reversal of 83111011137 is 73111011138.

It is not a de Polignac number, because 83111011137 - 210 = 83111010113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83111011137.

It is not an unprimeable number, because it can be changed into a prime (83111011147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51911137 + ... + 51912737.

It is an arithmetic number, because the mean of its divisors is an integer number (1572696216).

Almost surely, 283111011137 is an apocalyptic number.

It is an amenable number.

83111011137 is a deficient number, since it is larger than the sum of its proper divisors (67867825599).

83111011137 is a wasteful number, since it uses less digits than its factorization.

83111011137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Subtracting from 83111011137 its reverse (73111011138), we obtain a palindrome (9999999999).

The spelling of 83111011137 in words is "eighty-three billion, one hundred eleven million, eleven thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 173 231 433 519 693 1211 1299 1557 1601 1903 3031 3633 3897 4763 4803 5709 9093 10899 11207 13321 14289 14409 17127 17611 27279 33341 33621 39963 42867 52833 74909 100023 100863 119889 123277 158499 224727 276973 300069 369831 524363 674181 693233 823999 830919 1109493 1573089 1938811 2079699 2471997 2492757 3046703 4719267 4852631 5767993 5816433 6239097 7415991 7625563 9140109 14557893 17303979 17449299 21326921 22876689 27420327 43673679 51911937 53378941 63980763 68630067 119929309 160136823 191942289 359787927 480410469 839505163 1079363781 1319222399 2518515489 3957667197 7555546467 9234556793 11873001591 27703670379 83111011137