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4100221154133 = 321335044625249
BaseRepresentation
bin111011101010101000001…
…110011011001101010101
3112111222101110110211121200
4323222220032123031111
51014134223103413013
612415340545103113
7602142205522626
oct73525016331525
915458343424550
104100221154133
111340991a49085
12562797927a99
1323985938acc0
141026478cba4d
15719c982be73
hex3baa839b355

4100221154133 has 12 divisors (see below), whose sum is σ = 6378121795500. Its totient is φ = 2523213017856.

The previous prime is 4100221154111. The next prime is 4100221154171. The reversal of 4100221154133 is 3314511220014.

4100221154133 is a `hidden beast` number, since 4 + 10 + 0 + 221 + 15 + 413 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2231865687249 + 1868355466884 = 1493943^2 + 1366878^2 .

It is not a de Polignac number, because 4100221154133 - 26 = 4100221154069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4100221154097 and 4100221154106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100221152133) 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 11 ways as a sum of consecutive naturals, for example, 17522312508 + ... + 17522312741.

It is an arithmetic number, because the mean of its divisors is an integer number (531510149625).

Almost surely, 24100221154133 is an apocalyptic number.

It is an amenable number.

4100221154133 is a deficient number, since it is larger than the sum of its proper divisors (2277900641367).

4100221154133 is a wasteful number, since it uses less digits than its factorization.

4100221154133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35044625268 (or 35044625265 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 4100221154133 its reverse (3314511220014), we get a palindrome (7414732374147).

The spelling of 4100221154133 in words is "four trillion, one hundred billion, two hundred twenty-one million, one hundred fifty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 35044625249 105133875747 315401627241 455580128237 1366740384711 4100221154133