Search a number
-
+
122330000111031 = 353339115076387
BaseRepresentation
bin11011110100001000101100…
…001100111011010110110111
3121001010122010001001110100000
4123310020230030323112313
5112013223320012023111
61112101343133322343
734524023304305256
oct3364105414732667
9531118101043300
10122330000111031
1135a83952a20789
12118784596363b3
135334891bc341b
14222cb370d879d
15e2213d93dc56
hex6f422c33b5b7

122330000111031 has 24 divisors (see below), whose sum is σ = 183248792306944. Its totient is φ = 81550885623480.

The previous prime is 122330000111003. The next prime is 122330000111083. The reversal of 122330000111031 is 130111000033221.

122330000111031 is a `hidden beast` number, since 1 + 223 + 300 + 0 + 0 + 1 + 110 + 31 = 666.

It is not a de Polignac number, because 122330000111031 - 218 = 122329999848887 is a prime.

It is a super-2 number, since 2×1223300001110312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122330000110995 and 122330000111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330000011031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575820 + ... + 15652206.

Almost surely, 2122330000111031 is an apocalyptic number.

122330000111031 is a deficient number, since it is larger than the sum of its proper divisors (60918792195913).

122330000111031 is an equidigital number, since it uses as much as digits as its factorization.

122330000111031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15109793 (or 15109781 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122330000111031 its reverse (130111000033221), we get a palindrome (252441000144252).

The spelling of 122330000111031 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred eleven thousand, thirty-one".

Divisors: 1 3 9 27 81 243 33391 100173 300519 901557 2704671 8114013 15076387 45229161 135687483 407062449 1221187347 3663562041 503415638317 1510246914951 4530740744853 13592222234559 40776666703677 122330000111031