Search a number
-
+
122066330035 = 513177112712251
BaseRepresentation
bin111000110101110111…
…0000110000110110011
3102200002000100001102111
41301223232012012303
53444442440030120
6132024305030151
711550626454136
oct1615356060663
9380060301374
10122066330035
114784a2964a1
121b7a7925357
13b684316970
145c9d94a21d
1532965bb75a
hex1c6bb861b3

122066330035 has 64 divisors (see below), whose sum is σ = 170726621184. Its totient is φ = 82978560000.

The previous prime is 122066330021. The next prime is 122066330039. The reversal of 122066330035 is 530033660221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-122066330035 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122066329979 and 122066330006.

It is not an unprimeable number, because it can be changed into a prime (122066330039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9957660 + ... + 9969910.

It is an arithmetic number, because the mean of its divisors is an integer number (2667603456).

Almost surely, 2122066330035 is an apocalyptic number.

122066330035 is a deficient number, since it is larger than the sum of its proper divisors (48660291149).

122066330035 is a wasteful number, since it uses less digits than its factorization.

122066330035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12484.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 122066330035 its reverse (530033660221), we get a palindrome (652099990256).

The spelling of 122066330035 in words is "one hundred twenty-two billion, sixty-six million, three hundred thirty thousand, thirty-five".

Divisors: 1 5 13 17 65 71 85 127 221 355 635 923 1105 1207 1651 2159 4615 6035 8255 9017 10795 12251 15691 28067 45085 61255 78455 117221 140335 153289 159263 208267 586105 766445 796315 869821 1041335 1555877 1992757 2707471 4349105 7779385 9963785 11307673 13537355 14786957 20226401 26449909 56538365 73934785 101132005 110467267 132249545 192230441 343848817 552336335 961152205 1436074471 1719244085 1877943539 7180372355 9389717695 24413266007 122066330035