Search a number
-
+
103233112121 = 31101155921149
BaseRepresentation
bin110000000100100101…
…1000100100000111001
3100212110111022110022002
41200021023010200321
53142410134041441
6115231415510345
710313132655236
oct1401113044071
9325414273262
10103233112121
113a865445097
12180106883b5
1399725a2939
144dd45c878d
152a42ec8b9b
hex18092c4839

103233112121 has 16 divisors (see below), whose sum is σ = 107692416000. Its totient is φ = 98845752000.

The previous prime is 103233112109. The next prime is 103233112159. The reversal of 103233112121 is 121211332301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103233112121 - 26 = 103233112057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103233112093 and 103233112102.

It is not an unprimeable number, because it can be changed into a prime (103233112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4870655 + ... + 4891803.

It is an arithmetic number, because the mean of its divisors is an integer number (6730776000).

Almost surely, 2103233112121 is an apocalyptic number.

It is an amenable number.

103233112121 is a deficient number, since it is larger than the sum of its proper divisors (4459303879).

103233112121 is a wasteful number, since it uses less digits than its factorization.

103233112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22840.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103233112121 its reverse (121211332301), we get a palindrome (224444444422).

The spelling of 103233112121 in words is "one hundred three billion, two hundred thirty-three million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 31 101 1559 3131 21149 48329 157459 655619 2136049 4881229 32971291 66217519 1022110021 3330100391 103233112121