Search a number
-
+
103611661101 = 32136713217459
BaseRepresentation
bin110000001111110111…
…1000111101100101101
3100220102212121201212200
41200133233013230231
53144144041123401
6115333141252113
710325410405464
oct1403757075455
9326385551780
10103611661101
113aa3a099593
12180b7404039
139a02b43510
14502c9a79db
152a66351686
hex181fbc7b2d

103611661101 has 24 divisors (see below), whose sum is σ = 163579284960. Its totient is φ = 62809360416.

The previous prime is 103611661093. The next prime is 103611661117. The reversal of 103611661101 is 101166116301.

103611661101 is a `hidden beast` number, since 1 + 0 + 36 + 1 + 16 + 611 + 0 + 1 = 666.

It is not a de Polignac number, because 103611661101 - 23 = 103611661093 is a prime.

It is a super-3 number, since 3×1036116611013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103611668101) 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, 6600891 + ... + 6616568.

It is an arithmetic number, because the mean of its divisors is an integer number (6815803540).

Almost surely, 2103611661101 is an apocalyptic number.

It is an amenable number.

103611661101 is a deficient number, since it is larger than the sum of its proper divisors (59967623859).

103611661101 is a wasteful number, since it uses less digits than its factorization.

103611661101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13217545 (or 13217542 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 103611661101 its reverse (101166116301), we get a palindrome (204777777402).

The spelling of 103611661101 in words is "one hundred three billion, six hundred eleven million, six hundred sixty-one thousand, one hundred one".

Divisors: 1 3 9 13 39 67 117 201 603 871 2613 7839 13217459 39652377 118957131 171826967 515480901 885569753 1546442703 2656709259 7970127777 11512406789 34537220367 103611661101