Search a number
-
+
42122022124 = 227131011145741
BaseRepresentation
bin100111001110101010…
…110000110011101100
311000201120000102121111
4213032222300303230
51142231214201444
631203421041404
73020552165140
oct471652606354
9130646012544
1042122022124
1116955868736
1281b66b6264
133c838b1060
14207834b220
151167e4e234
hex9ceab0cec

42122022124 has 48 divisors (see below), whose sum is σ = 91622696256. Its totient is φ = 16498656000.

The previous prime is 42122022101. The next prime is 42122022143.

42122022124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42122022095 and 42122022104.

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 15 ways as a sum of consecutive naturals, for example, 536107 + ... + 609634.

It is an arithmetic number, because the mean of its divisors is an integer number (1908806172).

Almost surely, 242122022124 is an apocalyptic number.

It is an amenable number.

42122022124 is an abundant number, since it is smaller than the sum of its proper divisors (49500674132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42122022124 is a wasteful number, since it uses less digits than its factorization.

42122022124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145866 (or 1145864 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 421220 and 22124, that added together give a palindrome (443344).

The spelling of 42122022124 in words is "forty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 2626 2828 5252 9191 18382 36764 1145741 2291482 4582964 8020187 14894633 16040374 29789266 32080748 59578532 104262431 115719841 208524862 231439682 417049724 462879364 810038887 1504357933 1620077774 3008715866 3240155548 6017431732 10530505531 21061011062 42122022124