Search a number
-
+
3110002132122 = 232172777896229
BaseRepresentation
bin101101010000011010100…
…100101000010010011010
3102000022110101200120112200
4231100122210220102122
5401423241021211442
610340414254551030
7440455515644454
oct55203244502232
912008411616480
103110002132122
11a99a43142776
124228a5508476
1319736c5c5402
14aa74c4b32d4
1555d71b0d34c
hex2d41a92849a

3110002132122 has 12 divisors (see below), whose sum is σ = 6738337952970. Its totient is φ = 1036667377368.

The previous prime is 3110002132087. The next prime is 3110002132129. The reversal of 3110002132122 is 2212312000113.

It can be written as a sum of positive squares in only one way, i.e., 3026942315721 + 83059816401 = 1739811^2 + 288201^2 .

It is a super-2 number, since 2×31100021321222 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 172777896229 = 3110002132122 / (3 + 1 + 1 + 0 + 0 + 0 + 2 + 1 + 3 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 3110002132095 and 3110002132104.

It is not an unprimeable number, because it can be changed into a prime (3110002132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86388948097 + ... + 86388948132.

Almost surely, 23110002132122 is an apocalyptic number.

3110002132122 is an abundant number, since it is smaller than the sum of its proper divisors (3628335820848).

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

3110002132122 is a wasteful number, since it uses less digits than its factorization.

3110002132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172777896237 (or 172777896234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3110002132122 its reverse (2212312000113), we get a palindrome (5322314132235).

The spelling of 3110002132122 in words is "three trillion, one hundred ten billion, two million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 172777896229 345555792458 518333688687 1036667377374 1555001066061 3110002132122