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1330113252 = 22313172163181
BaseRepresentation
bin100111101000111…
…1110101011100100
310102200211202100210
41033101332223210
510211002111002
6335552535420
744650530126
oct11721765344
93380752323
101330113252
116228a5856
12311551570
1318274c680
14c891d216
157bb8c96c
hex4f47eae4

1330113252 has 144 divisors (see below), whose sum is σ = 3592027712. Its totient is φ = 380712960.

The previous prime is 1330113251. The next prime is 1330113289. The reversal of 1330113252 is 2523110331.

It is not an unprimeable number, because it can be changed into a prime (1330113251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7348602 + ... + 7348782.

Almost surely, 21330113252 is an apocalyptic number.

1330113252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330113252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796013856).

1330113252 is an abundant number, since it is smaller than the sum of its proper divisors (2261914460).

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

1330113252 is a wasteful number, since it uses less digits than its factorization.

1330113252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1330113252 is about 36470.7177335462. The cubic root of 1330113252 is about 1099.7556625350.

Adding to 1330113252 its reverse (2523110331), we get a palindrome (3853223583).

The spelling of 1330113252 in words is "one billion, three hundred thirty million, one hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 163 181 204 221 289 326 362 442 489 543 578 652 663 724 867 884 978 1086 1156 1326 1734 1956 2119 2172 2353 2652 2771 3077 3468 3757 4238 4706 5542 6154 6357 7059 7514 8313 8476 9231 9412 11084 11271 12308 12714 14118 15028 16626 18462 22542 25428 28236 29503 33252 36023 36924 40001 45084 47107 52309 59006 72046 80002 88509 94214 104618 108069 118012 120003 141321 144092 156927 160004 177018 188428 209236 216138 240006 282642 313854 354036 383539 432276 480012 501551 565284 612391 627708 680017 767078 1003102 1150617 1224782 1360034 1504653 1534156 1837173 2006204 2040051 2301234 2449564 2720068 3009306 3674346 4080102 4602468 6018612 6520163 7348692 8160204 8526367 13040326 17052734 19560489 25579101 26080652 34105468 39120978 51158202 78241956 102316404 110842771 221685542 332528313 443371084 665056626 1330113252