Search a number
-
+
2122013230133 = 42114093577297
BaseRepresentation
bin11110111000010001110…
…110000100010000110101
321111212021202021011000112
4132320101312010100311
5234231340341331013
64302501151552405
7306211315564046
oct36702166042065
97455252234015
102122013230133
11748a39169565
122a3315b2b705
13125149878974
14749c53368cd
153a2e9aaaba8
hex1ee11d84435

2122013230133 has 8 divisors (see below), whose sum is σ = 2128563855960. Its totient is φ = 2115469762560.

The previous prime is 2122013230079. The next prime is 2122013230171. The reversal of 2122013230133 is 3310323102212.

It can be written as a sum of positive squares in 4 ways, for example, as 1165676164 + 2120847553969 = 34142^2 + 1456313^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122013230133 - 212 = 2122013226037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122013230099 and 2122013230108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122013230933) 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 7 ways as a sum of consecutive naturals, for example, 1195460 + ... + 2381837.

It is an arithmetic number, because the mean of its divisors is an integer number (266070481995).

Almost surely, 22122013230133 is an apocalyptic number.

It is an amenable number.

2122013230133 is a deficient number, since it is larger than the sum of its proper divisors (6550625827).

2122013230133 is a wasteful number, since it uses less digits than its factorization.

2122013230133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579127.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2122013230133 its reverse (3310323102212), we get a palindrome (5432336332345).

The spelling of 2122013230133 in words is "two trillion, one hundred twenty-two billion, thirteen million, two hundred thirty thousand, one hundred thirty-three".

Divisors: 1 421 1409 593189 3577297 1506042037 5040411473 2122013230133