Search a number
-
+
10331103233430 = 2335736497149771
BaseRepresentation
bin1001011001010110010110…
…1111010000010110010110
31100120122101100101020201000
42112111211233100112112
52323231044411432210
633550013204244130
72114253240366540
oct226254557202626
940518340336630
1010331103233430
11332343a497a11
1211aa2a16a0646
1359c2aca92865
1427a05701a690
1512db07eeeac0
hex96565bd0596

10331103233430 has 128 divisors (see below), whose sum is σ = 31486339906560. Its totient is φ = 2361314557440.

The previous prime is 10331103233411. The next prime is 10331103233447. The reversal of 10331103233430 is 3433230113301.

10331103233430 is a `hidden beast` number, since 1 + 0 + 3 + 311 + 0 + 3 + 2 + 3 + 343 + 0 = 666.

10331103233430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10331103233394 and 10331103233403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68904445 + ... + 69054215.

It is an arithmetic number, because the mean of its divisors is an integer number (245987030520).

Almost surely, 210331103233430 is an apocalyptic number.

10331103233430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10331103233430 is an abundant number, since it is smaller than the sum of its proper divisors (21155236673130).

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

10331103233430 is a wasteful number, since it uses less digits than its factorization.

10331103233430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186291 (or 186285 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10331103233430 its reverse (3433230113301), we get a palindrome (13764333346731).

The spelling of 10331103233430 in words is "ten trillion, three hundred thirty-one billion, one hundred three million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 36497 72994 109491 149771 182485 218982 255479 299542 328473 364970 449313 510958 547455 656946 748855 766437 898626 985419 1048397 1094910 1277395 1347939 1497710 1532874 1642365 1970838 2096794 2246565 2299311 2554790 2695878 3145191 3284730 3832185 4043817 4493130 4598622 4927095 5241985 6290382 6739695 6897933 7664370 8087634 9435573 9854190 10483970 11496555 13479390 13795866 15725955 18871146 20219085 22993110 28306719 31451910 34489665 40438170 47177865 56613438 68979330 94355730 141533595 283067190 5466192187 10932384374 16398576561 27330960935 32797153122 38263345309 49195729683 54661921870 76526690618 81992882805 98391459366 114790035927 147587189049 163985765610 191316726545 229580071854 245978648415 295174378098 344370107781 382633453090 491957296830 573950179635 688740215562 737935945245 1033110323343 1147900359270 1475871890490 1721850538905 2066220646686 3443701077810 5165551616715 10331103233430