Search a number
-
+
103212203211 = 3513100932381
BaseRepresentation
bin110000000011111101…
…1010011110011001011
3100212102000222011200000
41200013323103303023
53142334311000321
6115225351414043
710312460152305
oct1400773236313
9325360864600
10103212203211
113a8546639a7
1218005684323
13996b1618c0
144dd1904975
152a41248826
hex1807ed3ccb

103212203211 has 48 divisors (see below), whose sum is σ = 166668858720. Its totient is φ = 63450293760.

The previous prime is 103212203197. The next prime is 103212203249. The reversal of 103212203211 is 112302212301.

103212203211 is a `hidden beast` number, since 1 + 0 + 321 + 2 + 20 + 321 + 1 = 666.

It is not a de Polignac number, because 103212203211 - 221 = 103210106059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103212203261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3171241 + ... + 3203621.

It is an arithmetic number, because the mean of its divisors is an integer number (3472267890).

Almost surely, 2103212203211 is an apocalyptic number.

103212203211 is a deficient number, since it is larger than the sum of its proper divisors (63456655509).

103212203211 is a wasteful number, since it uses less digits than its factorization.

103212203211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33418 (or 33406 counting only the distinct ones).

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

Adding to 103212203211 its reverse (112302212301), we get a palindrome (215514415512).

The spelling of 103212203211 in words is "one hundred three billion, two hundred twelve million, two hundred three thousand, two hundred eleven".

Divisors: 1 3 9 13 27 39 81 117 243 351 1009 1053 3027 3159 9081 13117 27243 32381 39351 81729 97143 118053 245187 291429 354159 420953 874287 1062477 1262859 2622861 3187431 3788577 7868583 11365731 32672429 34097193 98017287 102291579 294051861 424741577 882155583 1274224731 2646466749 3822674193 7939400247 11468022579 34404067737 103212203211