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11301320112 = 2431723701859
BaseRepresentation
bin10101000011001110…
…00111010110110000
31002011121102112201120
422201213013112300
5141121114220422
65105230302240
7550025431065
oct124147072660
932147375646
1011301320112
11487a334085
122234957980
1310b1498284
14792d08c6c
1546225e45c
hex2a19c75b0

11301320112 has 160 divisors (see below), whose sum is σ = 32340072960. Its totient is φ = 3382579200.

The previous prime is 11301320111. The next prime is 11301320113. The reversal of 11301320112 is 21102310311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11301320111) and next prime (11301320113).

It is a junction number, because it is equal to n+sod(n) for n = 11301320091 and 11301320100.

It is not an unprimeable number, because it can be changed into a prime (11301320111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13155939 + ... + 13156797.

It is an arithmetic number, because the mean of its divisors is an integer number (202125456).

Almost surely, 211301320112 is an apocalyptic number.

11301320112 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 11301320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170036480).

11301320112 is an abundant number, since it is smaller than the sum of its proper divisors (21038752848).

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

11301320112 is a wasteful number, since it uses less digits than its factorization.

11301320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11301320112 its reverse (21102310311), we get a palindrome (32403630423).

The spelling of 11301320112 in words is "eleven billion, three hundred one million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 701 782 816 859 1104 1173 1402 1564 1718 2103 2346 2577 2804 3128 3436 4206 4692 5154 5608 6256 6872 8412 9384 10308 11216 11917 13744 14603 16123 16824 18768 19757 20616 23834 29206 32246 33648 35751 39514 41232 43809 47668 48369 58412 59271 64492 71502 79028 87618 95336 96738 116824 118542 128984 143004 158056 175236 190672 193476 233648 237084 257968 274091 286008 316112 335869 350472 386952 474168 548182 572016 602159 671738 700944 773904 822273 948336 1007607 1096364 1204318 1343476 1644546 1806477 2015214 2192728 2408636 2686952 3289092 3612954 4030428 4385456 4817272 5373904 6578184 7225908 8060856 9634544 10236703 13156368 13849657 14451816 16121712 20473406 27699314 28903632 30710109 40946812 41548971 55398628 61420218 81893624 83097942 110797256 122840436 163787248 166195884 221594512 235444169 245680872 332391768 470888338 491361744 664783536 706332507 941776676 1412665014 1883553352 2825330028 3767106704 5650660056 11301320112