Search a number
-
+
103112230221 = 327311133759107
BaseRepresentation
bin110000000000111110…
…1111100010101001101
3100212011001212000111200
41200001331330111031
53142133212331341
6115211420540113
710310134332000
oct1400175742515
9325131760450
10103112230221
113a8031907a0
1217b980b1639
13995352a4a0
144dc251d537
152a3759bdb6
hex1801f7c54d

103112230221 has 384 divisors, whose sum is σ = 215115264000. Its totient is φ = 46850711040.

The previous prime is 103112230213. The next prime is 103112230279. The reversal of 103112230221 is 122032211301.

103112230221 is a `hidden beast` number, since 10 + 311 + 22 + 302 + 21 = 666.

It is not a de Polignac number, because 103112230221 - 23 = 103112230213 is a prime.

It is a super-2 number, since 2×1031122302212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103112230194 and 103112230203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112230201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 963665650 + ... + 963665756.

It is an arithmetic number, because the mean of its divisors is an integer number (560196000).

Almost surely, 2103112230221 is an apocalyptic number.

103112230221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103112230221 is an abundant number, since it is smaller than the sum of its proper divisors (112003033779).

103112230221 is a wasteful number, since it uses less digits than its factorization.

103112230221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

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

Adding to 103112230221 its reverse (122032211301), we get a palindrome (225144441522).

It can be divided in two parts, 103112 and 230221, that added together give a palindrome (333333).

The spelling of 103112230221 in words is "one hundred three billion, one hundred twelve million, two hundred thirty thousand, two hundred twenty-one".