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3101141241 = 3311176110069
BaseRepresentation
bin1011100011010111…
…1010100011111001
322000010100022001000
42320311322203321
522322343004431
61231420115213
7136564160052
oct27065724371
98003308030
103101141241
111351571350
12726695b09
133a5637623
14215c13729
151323c19e6
hexb8d7a8f9

3101141241 has 64 divisors (see below), whose sum is σ = 5394297600. Its totient is φ = 1739750400.

The previous prime is 3101141213. The next prime is 3101141243. The reversal of 3101141241 is 1421411013.

3101141241 is a `hidden beast` number, since 310 + 114 + 1 + 241 = 666.

It is not a de Polignac number, because 3101141241 - 215 = 3101108473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3101141243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302955 + ... + 313023.

It is an arithmetic number, because the mean of its divisors is an integer number (84285900).

Almost surely, 23101141241 is an apocalyptic number.

It is an amenable number.

3101141241 is a deficient number, since it is larger than the sum of its proper divisors (2293156359).

3101141241 is a wasteful number, since it uses less digits than its factorization.

3101141241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3101141241 is about 55687.8913319583. The cubic root of 3101141241 is about 1458.2786432505.

Adding to 3101141241 its reverse (1421411013), we get a palindrome (4522552254).

The spelling of 3101141241 in words is "three billion, one hundred one million, one hundred forty-one thousand, two hundred forty-one".

Divisors: 1 3 9 11 17 27 33 51 61 99 153 183 187 297 459 549 561 671 1037 1647 1683 2013 3111 5049 6039 9333 10069 11407 18117 27999 30207 34221 90621 102663 110759 171173 271863 307989 332277 513519 614209 996831 1540557 1842627 1882903 2990493 4621671 5527881 5648709 6756299 10441553 16583643 16946127 20268897 31324659 50838381 60806691 93973977 114857083 182420073 281921931 344571249 1033713747 3101141241