Search a number
-
+
122330041334141 = 3361346910492049
BaseRepresentation
bin11011110100001000101110…
…101010001011100101111101
3121001010122012220121210210212
4123310020232222023211331
5112013223411040143031
61112101351205042205
734524024314556254
oct3364105652134575
9531118186553725
10122330041334141
1135a83974217273
121187846b3b6365
13533489a5c78b4
14222cb3c78979b
15e2214238312b
hex6f422ea8b97d

122330041334141 has 8 divisors (see below), whose sum is σ = 122401724187000. Its totient is φ = 122258379479040.

The previous prime is 122330041334113. The next prime is 122330041334177. The reversal of 122330041334141 is 141433140033221.

It can be written as a sum of positive squares in 4 ways, for example, as 32487207060025 + 89842834274116 = 5699755^2 + 9478546^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122330041334141 - 230 = 122328967592317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122330041334098 and 122330041334107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330041334191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6413285 + ... + 16905333.

It is an arithmetic number, because the mean of its divisors is an integer number (15300215523375).

Almost surely, 2122330041334141 is an apocalyptic number.

It is an amenable number.

122330041334141 is a deficient number, since it is larger than the sum of its proper divisors (71682852859).

122330041334141 is a wasteful number, since it uses less digits than its factorization.

122330041334141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498879.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 122330041334141 its reverse (141433140033221), we get a palindrome (263763181367362).

The spelling of 122330041334141 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-one million, three hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3361 3469 10492049 11659309 35263776689 36396917981 122330041334141