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3113141241 = 371923312353
BaseRepresentation
bin1011100110001110…
…1100001111111001
322000221220221221110
42321203230033321
522333431004431
61232525230533
7140101156350
oct27143541771
98027827843
103113141241
111358318101
1272a702449
133a7c79612
14217658997
15133492346
hexb98ec3f9

3113141241 has 96 divisors (see below), whose sum is σ = 5399377920. Its totient is φ = 1555614720.

The previous prime is 3113141233. The next prime is 3113141249. The reversal of 3113141241 is 1421413113.

It is an interprime number because it is at equal distance from previous prime (3113141233) and next prime (3113141249).

It is not a de Polignac number, because 3113141241 - 23 = 3113141233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3113141249) 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 95 ways as a sum of consecutive naturals, for example, 8818921 + ... + 8819273.

It is an arithmetic number, because the mean of its divisors is an integer number (56243520).

Almost surely, 23113141241 is an apocalyptic number.

3113141241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3113141241 is a deficient number, since it is larger than the sum of its proper divisors (2286236679).

3113141241 is a wasteful number, since it uses less digits than its factorization.

3113141241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 436 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 3113141241 is about 55795.5306543454. The cubic root of 3113141241 is about 1460.1571797064.

Adding to 3113141241 its reverse (1421413113), we get a palindrome (4534554354).

The spelling of 3113141241 in words is "three billion, one hundred thirteen million, one hundred forty-one thousand, two hundred forty-one".

Divisors: 1 3 7 19 21 23 31 57 69 93 133 161 217 353 399 437 483 589 651 713 961 1059 1311 1767 2139 2471 2883 3059 4123 4991 6707 6727 7413 8119 9177 10943 12369 13547 14973 18259 20121 20181 22103 24357 32829 40641 46949 54777 56833 66309 76601 94829 127813 140847 154261 154721 170499 207917 229803 251689 284487 339233 383439 419957 462783 464163 623751 755067 1017699 1079827 1259871 1455419 1761823 2374631 2939699 3239481 4366257 4782091 5285469 6445427 7123893 7802359 8819097 14346273 19336281 23407077 33474637 45117989 54616513 100423911 135353967 148244821 163849539 444734463 1037713747 3113141241