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1330221123 = 35711223281
BaseRepresentation
bin100111101001001…
…1001000001000011
310102201001020100000
41033102121001003
510211014033443
6335555131043
744651456460
oct11722310103
93381036300
101330221123
11622969900
123115a3a83
131827897ba
14c894a667
157bbae8d3
hex4f499043

1330221123 has 144 divisors (see below), whose sum is σ = 2621219328. Its totient is φ = 658627200.

The previous prime is 1330221089. The next prime is 1330221127. The reversal of 1330221123 is 3211220331.

It is not a de Polignac number, because 1330221123 - 214 = 1330204739 is a prime.

It is a super-2 number, since 2×13302211232 = 3538976472150762258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330221096 and 1330221105.

It is not an unprimeable number, because it can be changed into a prime (1330221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4733743 + ... + 4734023.

It is an arithmetic number, because the mean of its divisors is an integer number (18202912).

Almost surely, 21330221123 is an apocalyptic number.

1330221123 is a deficient number, since it is larger than the sum of its proper divisors (1290998205).

1330221123 is a wasteful number, since it uses less digits than its factorization.

1330221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330221123 is about 36472.1965749254. The cubic root of 1330221123 is about 1099.7853914662.

Adding to 1330221123 its reverse (3211220331), we get a palindrome (4541441454).

The spelling of 1330221123 in words is "one billion, three hundred thirty million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 81 99 121 161 189 207 231 243 253 281 297 363 483 567 621 693 759 843 847 891 1089 1449 1701 1771 1863 1967 2079 2277 2529 2541 2673 2783 3091 3267 4347 5313 5589 5901 6237 6463 6831 7587 7623 8349 9273 9801 13041 15939 17703 18711 19389 19481 20493 21637 22761 22869 25047 27819 29403 34001 39123 45241 47817 53109 58167 58443 61479 64911 68283 68607 71093 75141 83457 102003 135723 143451 159327 174501 175329 194733 205821 213279 225423 238007 250371 306009 407169 430353 477981 497651 523503 525987 584199 639837 676269 714021 751113 782023 918027 1221507 1492953 1570509 1577961 1752597 1919511 2142063 2346069 2754081 3664521 4478859 4733883 5257791 5474161 5758533 6426189 7038207 8262243 10993563 13436577 16422483 17275599 19278567 21114621 40309731 49267449 57835701 63343863 120929193 147802347 190031589 443407041 1330221123