Search a number
-
+
122331104030241 = 3231742878059597
BaseRepresentation
bin11011110100001001101110…
…000000000010111000100001
3121001010201221222021100210200
4123310021232000002320201
5112013233100112431431
61112102044450215413
734524062540413521
oct3364115600027041
9531121858240720
10122331104030241
1135a8436a072607
1211878707284569
135334a09816c62
14222cbdd977681
15e221a57eaee6
hex6f426e002e21

122331104030241 has 12 divisors (see below), whose sum is σ = 177257898378132. Its totient is φ = 81296800994016.

The previous prime is 122331104030183. The next prime is 122331104030243. The reversal of 122331104030241 is 142030401133221.

122331104030241 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 1 + 10 + 403 + 0 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54487959507216 + 67843144523025 = 7381596^2 + 8236695^2 .

It is not a de Polignac number, because 122331104030241 - 210 = 122331104029217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122331104030243) 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 11 ways as a sum of consecutive naturals, for example, 21439026946 + ... + 21439032651.

It is an arithmetic number, because the mean of its divisors is an integer number (14771491531511).

Almost surely, 2122331104030241 is an apocalyptic number.

It is an amenable number.

122331104030241 is a deficient number, since it is larger than the sum of its proper divisors (54926794347891).

122331104030241 is a wasteful number, since it uses less digits than its factorization.

122331104030241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878059920 (or 42878059917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122331104030241 its reverse (142030401133221), we get a palindrome (264361505163462).

The spelling of 122331104030241 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred four million, thirty thousand, two hundred forty-one".

Divisors: 1 3 9 317 951 2853 42878059597 128634178791 385902536373 13592344892249 40777034676747 122331104030241