Search a number
-
+
122004434105 = 541595143581
BaseRepresentation
bin111000110100000000…
…1111110110010111001
3102122220200212102011122
41301220001332302321
53444331113342410
6132014214235025
711546245402421
oct1615001766271
9378820772148
10122004434105
1147818360134
121b78b055a75
13b674554a58
145c95637481
153290e41e55
hex1c6807ecb9

122004434105 has 8 divisors (see below), whose sum is σ = 149976182664. Its totient is φ = 95222972800.

The previous prime is 122004434093. The next prime is 122004434131. The reversal of 122004434105 is 501434400221.

It can be written as a sum of positive squares in 4 ways, for example, as 20797100944 + 101207333161 = 144212^2 + 318131^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122004434105 - 28 = 122004433849 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 297571586 + ... + 297571995.

It is an arithmetic number, because the mean of its divisors is an integer number (18747022833).

Almost surely, 2122004434105 is an apocalyptic number.

It is an amenable number.

122004434105 is a deficient number, since it is larger than the sum of its proper divisors (27971748559).

122004434105 is an equidigital number, since it uses as much as digits as its factorization.

122004434105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595143627.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 122004434105 its reverse (501434400221), we get a palindrome (623438834326).

The spelling of 122004434105 in words is "one hundred twenty-two billion, four million, four hundred thirty-four thousand, one hundred five".

Divisors: 1 5 41 205 595143581 2975717905 24400886821 122004434105