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313104141 = 32710149207
BaseRepresentation
bin10010101010011…
…001011100001101
3210211011100010200
4102222121130031
51120123313031
651022524113
710521225030
oct2252313415
9724140120
10313104141
11150814859
1288a36639
134cb3852c
142d825017
151c74b8e6
hex12a9970d

313104141 has 24 divisors (see below), whose sum is σ = 521998464. Its totient is φ = 177141600.

The previous prime is 313104139. The next prime is 313104157. The reversal of 313104141 is 141401313.

It is not a de Polignac number, because 313104141 - 21 = 313104139 is a prime.

It is a super-2 number, since 2×3131041412 = 196068406222695762, which contains 22 as substring.

313104141 is a modest number, since divided by 4141 gives 3131 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313104131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18241 + ... + 30966.

It is an arithmetic number, because the mean of its divisors is an integer number (21749936).

Almost surely, 2313104141 is an apocalyptic number.

It is an amenable number.

313104141 is a deficient number, since it is larger than the sum of its proper divisors (208894323).

313104141 is a wasteful number, since it uses less digits than its factorization.

313104141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49321 (or 49318 counting only the distinct ones).

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

The square root of 313104141 is about 17694.7489668545. The cubic root of 313104141 is about 679.0414269042.

Adding to 313104141 its reverse (141401313), we get a palindrome (454505454).

The spelling of 313104141 in words is "three hundred thirteen million, one hundred four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 49207 147621 344449 442863 1033347 3100041 4969907 14909721 34789349 44729163 104368047 313104141