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101040241221 = 3229387127361
BaseRepresentation
bin101111000011001110…
…1111011101001000101
3100122210200001001221100
41132012131323221011
53123412300204341
6114230043010313
710204604610513
oct1360635735105
9318720031840
10101040241221
113993a644797
12176ba209999
1396b31991aa
144c672854b3
1529657193b6
hex178677ba45

101040241221 has 12 divisors (see below), whose sum is σ = 150979671180. Its totient is φ = 65037396480.

The previous prime is 101040241177. The next prime is 101040241229. The reversal of 101040241221 is 122142040101.

101040241221 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 402 + 41 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21465473121 + 79574768100 = 146511^2 + 282090^2 .

It is not a de Polignac number, because 101040241221 - 26 = 101040241157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101040241194 and 101040241203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040241229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193563420 + ... + 193563941.

It is an arithmetic number, because the mean of its divisors is an integer number (12581639265).

Almost surely, 2101040241221 is an apocalyptic number.

It is an amenable number.

101040241221 is a deficient number, since it is larger than the sum of its proper divisors (49939429959).

101040241221 is a wasteful number, since it uses less digits than its factorization.

101040241221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387127396 (or 387127393 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101040241221 its reverse (122142040101), we get a palindrome (223182281322).

The spelling of 101040241221 in words is "one hundred one billion, forty million, two hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 387127361 1161382083 3484146249 11226693469 33680080407 101040241221