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2222013123133 = 29320940495897
BaseRepresentation
bin100000010101011010010…
…011011000101000111101
321212102101220201001111021
4200111122103120220331
5242401140324420013
64420440112424141
7316351361625436
oct40253223305075
97772356631437
102222013123133
11787394531231
122ba783848051
131316c534b79b
147979036a48d
153cbedcc3a8d
hex2055a4d8a3d

2222013123133 has 16 divisors (see below), whose sum is σ = 2300308470000. Its totient is φ = 2143830126592.

The previous prime is 2222013123131. The next prime is 2222013123149. The reversal of 2222013123133 is 3313213102222.

It can be written as a sum of positive squares in 8 ways, for example, as 55544119684 + 2166469003449 = 235678^2 + 1471893^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222013123133 - 21 = 2222013123131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2222013123098 and 2222013123107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222013123131) 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 15 ways as a sum of consecutive naturals, for example, 376801041 + ... + 376806937.

It is an arithmetic number, because the mean of its divisors is an integer number (143769279375).

Almost surely, 22222013123133 is an apocalyptic number.

It is an amenable number.

2222013123133 is a deficient number, since it is larger than the sum of its proper divisors (78295346867).

2222013123133 is a wasteful number, since it uses less digits than its factorization.

2222013123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2222013123133 its reverse (3313213102222), we get a palindrome (5535226225355).

The spelling of 2222013123133 in words is "two trillion, two hundred twenty-two billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 29 3209 4049 5897 93061 117421 171013 12993241 18923473 23876953 376803989 548780717 692431637 76621142177 2222013123133