Search a number
-
+
103305254492 = 221117223421839
BaseRepresentation
bin110000000110101111…
…0010001011001011100
3100212122112001200000202
41200031132101121130
53143032121120432
6115242514043032
710315000113656
oct1401536213134
9325575050022
10103305254492
113a8a2139790
1218030879478
13998451162b
1450000076d6
152a494c9462
hex180d79165c

103305254492 has 144 divisors (see below), whose sum is σ = 219391925760. Its totient is φ = 42122572800.

The previous prime is 103305254491. The next prime is 103305254513. The reversal of 103305254492 is 294452503301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103305254491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123128609 + ... + 123129447.

It is an arithmetic number, because the mean of its divisors is an integer number (1523555040).

Almost surely, 2103305254492 is an apocalyptic number.

It is an amenable number.

103305254492 is an abundant number, since it is smaller than the sum of its proper divisors (116086671268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103305254492 is a wasteful number, since it uses less digits than its factorization.

103305254492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 103305254492 its reverse (294452503301), we get a palindrome (397757757793).

The spelling of 103305254492 in words is "one hundred three billion, three hundred five million, two hundred fifty-four thousand, four hundred ninety-two".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 289 374 391 421 506 578 748 782 839 842 1012 1156 1564 1678 1684 3179 3356 4301 4631 6358 6647 7157 8602 9229 9262 9683 12716 13294 14263 14314 17204 18458 18524 19297 19366 26588 28526 28628 36916 38594 38732 57052 73117 77188 78727 106513 121669 146234 156893 157454 164611 212267 213026 242471 243338 292468 313786 314908 328049 329222 353219 424534 426052 484942 486676 627572 656098 658444 706438 849068 969884 1312196 1338359 1412876 1810721 2667181 2676718 2798387 3608539 3621442 3885409 5334362 5353436 5576833 5596774 6004723 7217078 7242884 7770818 8124037 10668724 11153666 11193548 12009446 14434156 15541636 16248074 22307332 24018892 30782257 32496148 61345163 61564514 66051953 89364407 102080291 122690326 123129028 132103906 138108629 178728814 204160582 245380652 264207812 276217258 357457628 408321164 552434516 1122883201 1519194919 2245766402 2347846693 3038389838 4491532804 4695693386 6076779676 9391386772 25826313623 51652627246 103305254492