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3104114013 = 3271113477331
BaseRepresentation
bin1011100100000101…
…0000010101011101
322000022221022220200
42321001100111131
522324123122023
61232003534113
7136631351040
oct27101202535
98008838820
103104114013
111353211890
1272768a339
133a6138770
14216388c57
151327ac743
hexb905055d

3104114013 has 96 divisors (see below), whose sum is σ = 6149025792. Its totient is φ = 1456617600.

The previous prime is 3104114011. The next prime is 3104114033.

3104114013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3104114013 - 21 = 3104114011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104114011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419758 + ... + 427088.

It is an arithmetic number, because the mean of its divisors is an integer number (64052352).

Almost surely, 23104114013 is an apocalyptic number.

3104114013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3104114013 is a deficient number, since it is larger than the sum of its proper divisors (3044911779).

3104114013 is a wasteful number, since it uses less digits than its factorization.

3104114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7412 counting only the distinct ones).

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

The square root of 3104114013 is about 55714.5763063850. The cubic root of 3104114013 is about 1458.7444658936.

It can be divided in two parts, 31041 and 14013, that added together give a palindrome (45054).

The spelling of 3104114013 in words is "three billion, one hundred four million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 47 63 77 91 99 117 141 143 231 273 329 423 429 517 611 693 819 987 1001 1287 1551 1833 2961 3003 3619 4277 4653 5499 6721 7331 9009 10857 12831 20163 21993 32571 38493 47047 51317 60489 65979 80641 95303 141141 153951 241923 285909 344557 423423 461853 564487 667121 725769 857727 1033671 1048333 1693461 2001363 2411899 3101013 3144999 3790127 4479241 5080383 6004089 7235697 7338331 9434997 11370381 13437723 21707091 22014993 26530889 31354687 34111143 40313169 49271651 66044979 79592667 94064061 147814953 238778001 282192183 344901557 443444859 1034704671 3104114013