Search a number
-
+
2110011122023 = 723412833112831
BaseRepresentation
bin11110101101000110011…
…101101010000101100111
321110201022022011212212221
4132231012131222011213
5234032300321401043
64253154205053211
7305305020420160
oct36550635520547
97421268155787
102110011122023
1174393a2a8052
122a0b26557207
13123c8615674c
14741a732a767
1539d460708ed
hex1eb4676a167

2110011122023 has 32 divisors (see below), whose sum is σ = 2578592120832. Its totient is φ = 1687142476800.

The previous prime is 2110011122017. The next prime is 2110011122029. The reversal of 2110011122023 is 3202211100112.

It is an interprime number because it is at equal distance from previous prime (2110011122017) and next prime (2110011122029).

It is a cyclic number.

It is not a de Polignac number, because 2110011122023 - 233 = 2101421187431 is a prime.

It is a super-2 number, since 2×21100111220232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110011121988 and 2110011122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110011122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18644218 + ... + 18757048.

It is an arithmetic number, because the mean of its divisors is an integer number (80581003776).

Almost surely, 22110011122023 is an apocalyptic number.

2110011122023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2110011122023 is a deficient number, since it is larger than the sum of its proper divisors (468580998809).

2110011122023 is a wasteful number, since it uses less digits than its factorization.

2110011122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115735.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2110011122023 its reverse (3202211100112), we get a palindrome (5312222222135).

The spelling of 2110011122023 in words is "two trillion, one hundred ten billion, eleven million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 7 23 41 161 287 943 2833 6601 19831 65159 112831 116153 456113 789817 813071 2595113 2671519 4626071 18165791 18700633 32382497 106399633 319650223 744797431 2237551561 7351955129 13105659143 51463685903 91739614001 301430160289 2110011122023