Search a number
-
+
122442441231 = 31117218257471
BaseRepresentation
bin111001000001000100…
…0110110001000001111
3102201001020001110222210
41302002020312020033
54001230231104411
6132125502241503
711563144402215
oct1620210661017
9381036043883
10122442441231
1147a226253a0
121b891886293
13b714212a76
145cd7892cb5
1532b9611ca6
hex1c8223620f

122442441231 has 16 divisors (see below), whose sum is σ = 188574455808. Its totient is φ = 69842390400.

The previous prime is 122442441229. The next prime is 122442441283. The reversal of 122442441231 is 132144244221.

It is not a de Polignac number, because 122442441231 - 21 = 122442441229 is a prime.

It is a super-2 number, since 2×1224424412312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122442441731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109128175 + ... + 109129296.

It is an arithmetic number, because the mean of its divisors is an integer number (11785903488).

Almost surely, 2122442441231 is an apocalyptic number.

122442441231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122442441231 is a deficient number, since it is larger than the sum of its proper divisors (66132014577).

122442441231 is a wasteful number, since it uses less digits than its factorization.

122442441231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218257502.

The product of its digits is 12288, while the sum is 30.

Adding to 122442441231 its reverse (132144244221), we get a palindrome (254586685452).

The spelling of 122442441231 in words is "one hundred twenty-two billion, four hundred forty-two million, four hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 218257471 654772413 2400832181 3710377007 7202496543 11131131021 40814147077 122442441231