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104311553121 = 32176111176637
BaseRepresentation
bin110000100100101110…
…0111111110001100001
3100222020122120221020100
41201021130333301201
53202112224144441
6115530422333013
710351636400136
oct1411134776141
9328218527210
10104311553121
1140269174846
121827188a169
139ab4b456c9
14509791458d
152aa7a01cb6
hex184973fc61

104311553121 has 24 divisors (see below), whose sum is σ = 162150664104. Its totient is φ = 64377423360.

The previous prime is 104311553119. The next prime is 104311553131. The reversal of 104311553121 is 121355113401.

104311553121 is a `hidden beast` number, since 10 + 4 + 3 + 115 + 531 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136890000 + 104174663121 = 11700^2 + 322761^2 .

It is not a de Polignac number, because 104311553121 - 21 = 104311553119 is a prime.

It is a super-2 number, since 2×1043115531212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104311553131) 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 23 ways as a sum of consecutive naturals, for example, 5578986 + ... + 5597651.

It is an arithmetic number, because the mean of its divisors is an integer number (6756277671).

Almost surely, 2104311553121 is an apocalyptic number.

It is an amenable number.

104311553121 is a deficient number, since it is larger than the sum of its proper divisors (57839110983).

104311553121 is a wasteful number, since it uses less digits than its factorization.

104311553121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176721 (or 11176718 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 104311553121 its reverse (121355113401), we get a palindrome (225666666522).

The spelling of 104311553121 in words is "one hundred four billion, three hundred eleven million, five hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 9333 11176637 33529911 100589733 190002829 570008487 681774857 1710025461 2045324571 6135973713 11590172569 34770517707 104311553121